%%%%%%%%%%%%%%%%%%%%%% A %%%%%%%%%%%%%%%%%%%%%%

@INCOLLECTION{Abbes-ssr,
    AUTHOR = {Abbes, Ahmed},
     TITLE = {R\'eduction semi-stable des courbes d'apr\`es {A}rtin, {D}eligne, {G}rothendieck, {M}umford, {S}aito, {W}inters, {$\ldots$}},
 BOOKTITLE = {Courbes semi-stables et groupe fondamental en g\'eom\'etrie alg\'ebrique ({L}uminy, 1998)},
    SERIES = {Progr. Math.},
    VOLUME = {187},
     PAGES = {59--110},
 PUBLISHER = {Birkh\"auser, Basel},
      YEAR = {2000},
}

@BOOK{Abbes,
    AUTHOR = {Abbes, Ahmed},
     TITLE = {\'{E}l\'ements de g\'eom\'etrie rigide. {V}olume {I}},
    SERIES = {Progress in Mathematics},
    VOLUME = {286},
 PUBLISHER = {Birkh\"auser/Springer Basel AG, Basel},
      YEAR = {2010},
     PAGES = {xvi+477},
}

@ARTICLE{AHS,
    AUTHOR = {Aberbach, Ian and Hosry, Aline and Striuli, Janet},
     TITLE = {Uniform {A}rtin-{R}ees bounds for syzygies},
   JOURNAL = {Adv. Math.},
    VOLUME = {285},
      YEAR = {2015},
     PAGES = {478--496},
      ISSN = {0001-8708},
       URL = {https://doi.org/10.1016/j.aim.2015.07.031},
}

@ARTICLE{abramovich-vistoli,
    AUTHOR   = {Abramovich, Dan and Vistoli, Angelo},
    TITLE    = {Compactifying the space of stable maps},
    SHORTJOURNAL  = {J. Amer. Math. Soc.},
    JOURNAL = {Journal of the American Mathematical Society},
    VOLUME   = {15},
    YEAR     = {2002},
    NUMBER   = {1},
    PAGES    = {27--75},
    EPRINT   = {math/9908167},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{acv,
    AUTHOR   = {Abramovich, Dan and Corti, Alessio and Vistoli, Angelo},
    TITLE    = {Twisted bundles and admissible covers},
    NOTE     = {Special issue in honor of Steven L. Kleiman},
    SHORTJOURNAL  = {Comm. Algebra},
    JOURNAL = {Communications in Algebra},
    VOLUME   = {31},
    YEAR     = {2003},
    NUMBER   = {8},
    PAGES    = {3547--3618},
    EPRINT = {math/0106211},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{agv,
    AUTHOR   = {Abramovich, Dan and Graber, Tom and Vistoli, Angelo},
    TITLE    = {Gromov-{W}itten theory of {D}eligne-{M}umford stacks},
    SHORTJOURNAL  = {Amer. J. Math.},
    JOURNAL = {American Journal of Mathematics},
    VOLUME   = {130},
    YEAR     = {2008},
    NUMBER   = {5},
    PAGES    = {1337--1398},
    EPRINT = {math/0603151},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{tame,
    AUTHOR   = {Abramovich, Dan and Olsson, Martin Christian and Vistoli, Angelo},
    TITLE    = {Tame stacks in positive characteristic},
    SHORTJOURNAL  = {Ann. Inst. Fourier},
    JOURNAL = {Annales de l'Institut Fourier},
    VOLUME   = {58},
    YEAR     = {2008},
    NUMBER   = {4},
    PAGES    = {1057--1091},
    EPRINT = {math/0703310},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{Achinger,
    AUTHOR = {Achinger, Piotr},
     TITLE = {Wild ramification and {$K(\pi, 1)$} spaces},
   JOURNAL = {Invent. Math.},
    VOLUME = {210},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {453--499},
      ISSN = {0020-9910},
       URL = {https://doi.org/10.1007/s00222-017-0733-5},
}

@ARTICLE{Akasaki,
    AUTHOR = {Akasaki, Takeo},
     TITLE = {Projective {$R$}-modules with chain conditions on {$R/J$}},
   JOURNAL = {Proc. Japan Acad.},
    VOLUME = {46},
      YEAR = {1970},
     PAGES = {94--97},
      ISSN = {0021-4280},
       URL = {http://projecteuclid.org/euclid.pja/1195520447},
}

@INCOLLECTION{Alexeev96,
    AUTHOR    = {Alexeev, Valery},
    TITLE     = {Moduli spaces $M_{g,n}(W)$ for surfaces},
    BOOKTITLE = {Higher dimensional complex varieties ({T}rento, 1994)},
    PAGES     = {1--22},
    PUBLISHER = {de {G}ruyter},
    YEAR      = {1996},
    EPRINT = {alg-geom/9410003},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{alexeev-knutson,
    AUTHOR = {Alexeev, Valery and Knutson, Allen},
     TITLE = {Complete moduli spaces of branchvarieties},
     SHORTJOURNAL = {J. reine angew. Math},
     JOURNAL = {Journal f\"ur die reine und angewandte Mathematik},
     VOLUME = {639},
     YEAR = {2010},
   EPRINT = {math/0602626},
   EPRINTTYPE = {arXiv},
}

@ARTICLE{AKFano,
     AUTHOR       = {Altman, Allen and Kleiman, Steven},
     TITLE        = {Foundations of the theory of {F}ano schemes},
     SHORTJOURNAL      = {Compositio Math.},
     JOURNAL = {Compositio Mathematica},
     YEAR         = {1977},
     VOLUME       = {34},
     NUMBER = {1},
     PAGES        = {3--47},
}

@MISC{alper_good,
  AUTHOR = {Alper, Jarod},
  TITLE = {Good moduli spaces for {A}rtin stacks},
  YEAR = {2008},
  EPRINT = {0804.2242},
  EPRINTTYPE = {arXiv},
}

@ARTICLE{Alper-adequate,
    AUTHOR = {Alper, Jarod},
     TITLE = {Adequate moduli spaces and geometrically reductive group schemes},
   JOURNAL = {Algebr. Geom.},
    VOLUME = {1},
      YEAR = {2014},
    NUMBER = {4},
     PAGES = {489--531},
       URL = {https://dx.doi.org/10.14231/AG-2014-022},
}

@ARTICLE{alper_quotient,
  AUTHOR = {Alper, Jarod},
  TITLE = {On the local quotient structure of {A}rtin stacks},
  SHORTJOURNAL = {J. Pure Appl. Algebra},
  JOURNAL = {Journal of Pure and Applied Algebra},
  YEAR = {2010},
  VOLUME = {214},
  NUMBER = {9},
  PAGES = {1576--1591},
  EPRINT = {0904.2050},
  EPRINTTYPE = {arXiv},
}

@BOOK{Andre,
    AUTHOR = {Andr{\'e}, Michel},
     TITLE = {M\'ethode simpliciale en alg\`ebre homologique et alg\`ebre commutative},
    SERIES = {Lecture Notes in Mathematics, Vol. 32},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1967},
     PAGES = {iii+122},
}

@BOOK{Andre-Homologie,
    AUTHOR = {Andr{\'e}, Michel},
     TITLE = {Homologie des alg\`ebres commutatives},
      NOTE = {Die Grundlehren der mathematischen Wissenschaften, Band 206},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1974},
     PAGES = {xv+341},
}

@ARTICLE{Andre-smooth,
    AUTHOR = {Andr\'e, Michel},
     TITLE = {Localisation de la lissit\'e{} formelle},
   JOURNAL = {Manuscripta Math.},
    VOLUME = {13},
      YEAR = {1974},
     PAGES = {297--307},
       URL = {https://doi.org/10.1007/BF01168230},
}

@BOOK{Andre-motifs,
    AUTHOR = {Andr\'{e}, Yves},
     TITLE = {Une introduction aux motifs (motifs purs, motifs mixtes, p\'{e}riodes)},
    SERIES = {Panoramas et Synth\`eses [Panoramas and Syntheses]},
    VOLUME = {17},
 PUBLISHER = {Soci\'{e}t\'{e} Math\'{e}matique de France, Paris},
      YEAR = {2004},
     PAGES = {xii+261},
      ISBN = {2-85629-164-3},
}

@ARTICLE{AT,
    AUTHOR = {Anel, Mathieu and To\"{e}n, Bertrand},
     TITLE = {D\'{e}nombrabilit\'{e} des classes d'\'{e}quivalences d\'{e}riv\'{e}es de vari\'{e}t\'{e}s alg\'{e}briques},
   JOURNAL = {J. Algebraic Geom.},
    VOLUME = {18},
      YEAR = {2009},
    NUMBER = {2},
     PAGES = {257--277},
      ISSN = {1056-3911},
       URL = {https://doi.org/10.1090/S1056-3911-08-00487-6},
}

@ARTICLE{AokiHomStacks,
    AUTHOR = {Aoki, Masao},
     TITLE = {Hom stacks},
   JOURNAL = {Manuscripta Math.},
    VOLUME = {119},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {37--56},
       URL = {https://dx.doi.org/10.1007/s00229-005-0602-1},
}

@ARTICLE{AokiHomStacksErr,
    AUTHOR = {Aoki, Masao},
     TITLE = {Erratum: ``{H}om stacks'' [{M}anuscripta {M}ath. 119 (2006), no. 1, 37--56; MR2194377]},
   JOURNAL = {Manuscripta Math.},
    VOLUME = {121},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {135},
       URL = {https://dx.doi.org/10.1007/s00229-006-0029-3},
}

@ARTICLE{Arabia,
    AUTHOR = {Arabia, Alberto},
     TITLE = {Rel\`evements des alg\`ebres lisses et de leurs morphismes},
   SHORTJOURNAL = {Comment. Math. Helv.},
   JOURNAL = {Commentarii Mathematici Helvetici},
    VOLUME = {76},
      YEAR = {2001},
    NUMBER = {4},
     PAGES = {607--639},
}

@BOOK{ACGH,
     AUTHOR       = {Arbarello, Enrico and Cornalba, Maurizio and Griffiths, Philip Augustus and Harris, Joseph Daniel},
     TITLE        = {Geometry of Algebraic Curves: Volume {I}},
     PUBLISHER    = {Springer-Verlag},
     YEAR         = {1985},
     SERIES       = {Grundlehren der mathematischen {W}issenschaften},
     NUMBER       = {267},
}
% AUTHOR for Griffiths only the second initial is given, give full name nevertheless?, likewise for Harris only his *first* initial is given, which is inconsistent with the rest


@BOOK{ACG,
    AUTHOR = {Arbarello, Enrico and Cornalba, Maurizio and Griffiths, Phillip A.},
     TITLE = {Geometry of algebraic curves. {V}olume {II}},
    SERIES = {Grundlehren der mathematischen Wissenschaften},
    VOLUME = {268},
      NOTE = {With a contribution by Joseph Daniel Harris},
 PUBLISHER = {Springer, Heidelberg},
      YEAR = {2011},
     PAGES = {xxx+963},
      ISBN = {978-3-540-42688-2},
       URL = {https://doi.org/10.1007/978-3-540-69392-5},
}


@BOOK{ANT,
    AUTHOR = {Artin, Emil and Nesbitt, Cecil James and Thrall, Robert McDowell},
     TITLE = {Rings with {M}inimum {C}ondition},
    SERIES = {University of Michigan Publications in Mathematics},
 PUBLISHER = {University of Michigan Press},
      YEAR = {1944},
      NUMBER = {1},
     PAGES = {x+123},
}

@ARTICLE{Etale-coverings,
    AUTHOR = {Artin, Michael},
     TITLE = {Etale coverings of schemes over Hensel rings},
   SHORTJOURNAL = {Amer. J. Math.},
   JOURNAL = {American Journal of Mathematics},
    VOLUME = {88},
    NUMBER = {4},
      YEAR = {1966},
     PAGES = {915--934},
}

@BOOK{ArtinTopologies,
	AUTHOR		= {Artin, Michael},
  TITLE = {Grothendieck topologies: notes on a seminar},
	PAGES		= {1--134},
  PUBLISHER = {Harvard University, Dept. of Mathematics},
	YEAR		= {1962},
}
% TITLE use this title? it seems the most popular one
% PAGES check whether there are any frontmatter pages

@INCOLLECTION{ArtinI,
    AUTHOR = {Artin, Michael},
     TITLE = {Algebraization of formal moduli: I},
 BOOKTITLE = {Global Analysis (Papers in Honor of K. Kodaira)},
     PAGES = {21--71},
 PUBLISHER = {Univ. Tokyo Press},
   ADDRESS = {Tokyo},
      YEAR = {1969},
}

@ARTICLE{ArtinII,
    AUTHOR = {Artin, Michael},
	TITLE	= {Algebraization of formal moduli: {II} -- Existence of modifications},
	JOURNAL	= {Annals of Mathematics},
	VOLUME	= {91},
	PAGES	= {88--135},
	YEAR	= {1970}
}

@ARTICLE{ArtinVersal,
    AUTHOR = {Artin, Michael},
	TITLE	= {Versal deformations and algebraic stacks},
	JOURNAL	= {Inventiones Mathematics},
	YEAR	= {1974},
	VOLUME	= {27},
	PAGES	= {165-189},
}

@BOOK{Artin-Theorem-Representability,
    AUTHOR = {Artin, Michael},
     TITLE = {Th\'eor\`emes de repr\'esentabilit\'e pour les espaces alg\'ebriques},
      NOTE = {En collaboration avec Alexandru Lascu et Jean-Fran{\c{c}}ois Boutot, S{\'e}minaire de Math{\'e}matiques Sup{\'e}rieures, No. 44 ({\'E}t{\'e}, 1970)},
 PUBLISHER = {Les Presses de l'Universit\'e de Montr\'eal, Montreal, Que.},
      YEAR = {1973},
     PAGES = {282},
}

@INCOLLECTION{Artin-Construction-Techniques,
    AUTHOR = {Artin, Michael},
     TITLE = {Construction techniques for algebraic spaces},
 BOOKTITLE = {Actes du {C}ongr\`es {I}nternational des {M}ath\'ematiciens ({N}ice, 1970), {T}ome 1},
     PAGES = {419--423},
 PUBLISHER = {Gauthier-Villars},
   ADDRESS = {Paris},
      YEAR = {1971},
}

@BOOK{Artin-Algebraic-Spaces,
    AUTHOR = {Artin, Michael},
     TITLE = {Algebraic spaces},
      NOTE = {A James K. Whittemore Lecture in Mathematics given at Yale University, 1969, Yale Mathematical Monographs, 3},
 PUBLISHER = {Yale University Press},
   ADDRESS = {New Haven, Conn.},
      YEAR = {1971},
     PAGES = {vii+39},
}

@ARTICLE{Artin-Analytic-Approximation,
    AUTHOR = {Artin, Michael},
     TITLE = {On the solutions of analytic equations},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {5},
      YEAR = {1968},
     PAGES = {277--291},
}

@INCOLLECTION{Artin-Implicit-Function,
    AUTHOR = {Artin, Michael},
     TITLE = {The implicit function theorem in algebraic geometry},
 BOOKTITLE = {Algebraic {G}eometry ({I}nternat. {C}olloq., {T}ata {I}nst. {F}und. {R}es., {B}ombay, 1968)},
     PAGES = {13--34},
 PUBLISHER = {Oxford Univ. Press},
   ADDRESS = {London},
      YEAR = {1969},
}

@ARTICLE{Artin-Algebraic-Approximation,
    AUTHOR = {Artin, Michael},
     TITLE = {Algebraic approximation of structures over complete local rings},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques},
    NUMBER = {36},
      YEAR = {1969},
     PAGES = {23--58},
}

@INCOLLECTION{Artin-power-series,
    AUTHOR = {Artin, Michael},
     TITLE = {Algebraic structure of power series rings},
 BOOKTITLE = {Algebraists' homage: papers in ring theory and related topics ({N}ew {H}aven, {C}onn., 1981)},
    SERIES = {Contemp. Math.},
    VOLUME = {13},
     PAGES = {223--227},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, R.I.},
      YEAR = {1982},
}

@INCOLLECTION{Artin-Denef,
    AUTHOR = {Artin, Michael and Denef, Jan},
     TITLE = {Smoothing of a ring homomorphism along a section},
 BOOKTITLE = {Arithmetic and geometry, {V}ol. {II}},
    SERIES = {Progr. Math.},
    VOLUME = {36},
     PAGES = {5--31},
 PUBLISHER = {Birkh\"auser Boston},
   ADDRESS = {Mass.},
      YEAR = {1983},
}

@BOOK{ArtinMazur,
    AUTHOR = {Artin, Michael and Mazur, Barry},
     TITLE = {Etale homotopy},
    SERIES = {Lecture Notes in Mathematics, No. 100},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1969},
     PAGES = {iii+169},
}

@INCOLLECTION{Artin-Lipman,
    AUTHOR = {Artin, Michael},
     TITLE = {Lipman's proof of resolution of singularities for surfaces},
 BOOKTITLE = {Arithmetic geometry ({S}torrs, {C}onn., 1984)},
     PAGES = {267--287},
 PUBLISHER = {Springer, New York},
      YEAR = {1986},
}

@ARTICLE{Artin-Winters,
    AUTHOR = {Artin, Michael and Winters, Gayn},
     TITLE = {Degenerate fibres and stable reduction of curves},
   JOURNAL = {Topology},
    VOLUME = {10},
      YEAR = {1971},
     PAGES = {373--383},
}

@BOOK{SGA3,
    AUTHOR = {Artin, Michael and Bertin, Jean-Etienne and Demazure, Michel and Grothendieck, Alexander and Gabriel, Pierre and Raynaud, Michel and Serre, Jean-Pierre},
     TITLE = {Sch\'emas en groupes},
    SERIES = {S\'eminaire de G\'eom\'etrie Alg\'ebrique de l'Institut des Hautes \'Etudes Scientifiques},
 PUBLISHER = {Institut des Hautes \'Etudes Scientifiques},
   ADDRESS = {Paris},
      YEAR = {1963/1966},
}
% decide whether we want to cite the LNM or the original mimeographed notes
% there should be an EDITOR field?

@BOOK{SGA4,
      AUTHOR      = {Artin, Michael and Grothendieck, Alexander and Verdier, Jean-Louis},
      TITLE       = {Theorie de Topos et Cohomologie Etale des Schemas {I}, {II}, {III}},
      PUBLISHER   = {Springer},
      YEAR        = {1971},
      SERIES      = {Lecture Notes in Mathematics},
      VOLUME      = {269, 270, 305},
}

@ARTICLE{Auslander-Purity,
    AUTHOR = {Auslander, Maurice},
     TITLE = {On the purity of the branch locus},
   JOURNAL = {Amer. J. Math.},
    VOLUME = {84},
      YEAR = {1962},
     PAGES = {116--125},
      ISSN = {0002-9327},
       URL = {https://dx.doi.org/10.2307/2372807},
}

@ARTICLE{Auslander,
    AUTHOR = {Auslander, Maurice},
     TITLE = {On the dimension of modules and algebras. {III}. {G}lobal dimension},
   JOURNAL = {Nagoya Math. J.},
  FJOURNAL = {Nagoya Mathematical Journal},
    VOLUME = {9},
      YEAR = {1955},
     PAGES = {67--77},
}

@ARTICLE{Auslander-Buchsbaum,
    AUTHOR = {Auslander, Maurice and Buchsbaum, David A.},
     TITLE = {Homological dimension in local rings},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {85},
      YEAR = {1957},
     PAGES = {390--405},
}

@ARTICLE{Avramov,
    AUTHOR = {Avramov, Luchezar L.},
     TITLE = {Flat morphisms of complete intersections},
   JOURNAL = {Dokl. Akad. Nauk SSSR},
  FJOURNAL = {Doklady Akademii Nauk SSSR},
    VOLUME = {225},
      YEAR = {1975},
    NUMBER = {1},
     PAGES = {11--14},
}
% AUTHOR field: I couldn't find his second name

@ARTICLE{AH,
    AUTHOR = "Avramov, Luchezar and Halperin, Stephen",
    TITLE = "Through the looking glass: a dictionary between rational homotopy theory and local algebra",
    SERIES = "Lecture Notes in Mathematics",
    VOLUME = "1183",
    PUBLISHER = "Springer-Verlag, Berlin",
    YEAR = "1986",
    PAGES = "1--27"
}

%%%%%%%%%%%%%%%%%%%%%% B %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Baer,
    AUTHOR = {Baer, Reinhold},
     TITLE = {Abelian groups that are direct summands of every containing abelian group},
   JOURNAL = {Bull. Amer. Math. Soc.},
    VOLUME = {46},
      YEAR = {1940},
     PAGES = {800--806},
      ISSN = {0002-9904},
       URL = {https://dx.doi.org/10.1090/S0002-9904-1940-07306-9},
}

@BOOK{Ballard,
    AUTHOR = {Ballard, Matthew Robert},
     TITLE = {Derived categories of sheaves of quasi-projective schemes},
      NOTE = {Thesis (Ph.D.)--University of Washington},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {2008},
     PAGES = {83},
      ISBN = {978-0549-81726-0},
       URL = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3328371},
}

@ARTICLE{Baranovsky,
    AUTHOR = {Baranovsky, Vladimir},
     TITLE = {Algebraization of bundles on non-proper schemes},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {362},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {427--439},
      ISSN = {0002-9947},
       URL = {https://doi.org/10.1090/S0002-9947-09-04948-4},
}

@INPROCEEDINGS{Barlet,
      AUTHOR      = {Barlet, Daniel},
      TITLE       = {Espace analytique r\'eduit des cycles analytiques complexes compacts d'un espace analytique complexe de dimension finie},
      BOOKTITLE   = {S\'eminaire Norguet},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1975},
      SERIES      = {Lecture Notes in Mathematics},
      VOLUME      = {482},
      PAGES       = {1--158},
}
% I changed the TITLE field to what seems to be the correct title
% this is not an inproceedings but it's published as a chapter in a book, fix this


@ARTICLE{BVdV,
      AUTHOR      = {Barth, Wolf and {Van de Ven}, Antonius},
      TITLE       = {{F}ano-varieties of lines on hypersurfaces},
      JOURNAL     = {Arch. Math.},
      VOLUME      = {31},
      YEAR        = {1978},
      PAGES       = {96-104},
}

@ARTICLE{Bass,
    AUTHOR = {Bass, Hyman},
     TITLE = {Big projective modules are free},
   JOURNAL = {Illinois J. Math.},
  FJOURNAL = {Illinois Journal of Mathematics},
    VOLUME = {7},
      YEAR = {1963},
     PAGES = {24--31},
}

@ARTICLE{BD,
      AUTHOR      = {Beauville, Arnaud and Donagi, Ron},
      TITLE       = {La vari\'et\'e des droites d'une hypersurface cubique de dimension 4},
      JOURNAL     = {C.R. Acad. Sc. Paris, S\'erie I},
      YEAR        = {1985},
      VOLUME      = {301},
      PAGES       = {703--706},
}

@ARTICLE{Beauville-Laszlo,
    AUTHOR = {Beauville, Arnaud and Laszlo, Yves},
     TITLE = {Un lemme de descente},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
    VOLUME = {320},
      YEAR = {1995},
    NUMBER = {3},
     PAGES = {335--340},
}

@ARTICLE{Beddani,
    AUTHOR = {Beddani, Charef},
     TITLE = {Note on the completion of a local domain with geometrically normal formal fibers},
   JOURNAL = {C. R. Math. Acad. Sci. Paris},
    VOLUME = {351},
      YEAR = {2013},
    NUMBER = {5-6},
     PAGES = {173--175},
       URL = {https://dx.doi.org/10.1016/j.crma.2013.03.004},
}

@UNPUBLISHED{Beheshti,
      AUTHOR      = {Beheshti, Roya},
      TITLE       = {Lines on {F}ano hypersurfaces},
      YEAR        = {2003},
      NOTE        = {MIT PhD thesis},
}

@ARTICLE{noohi,
  AUTHOR = {Noohi, Behrang},
  TITLE = {Foundations of Topological Stacks {I}},
  JOURNAL = {math.AG/0503247v1},
  YEAR = {2005}
}

@ARTICLE{B,
      AUTHOR      = {Behrend, Kai},
      TITLE       = {Gromov-{W}itten invariants in algebraic geometry},
      JOURNAL     = {Inventiones Mathematica},
      YEAR        = {1997},
      VOLUME      = {127},
      PAGES       = {601--617},
      EPRINT      = {alg-geom/9601011},
}

% AUTHOR now has a second initial, not for his other papers, what to choose?
@ARTICLE{behrend_derived,
    AUTHOR = {Behrend, Kai A.},
     TITLE = {Derived {$l$}-adic categories for algebraic stacks},
   JOURNAL = {Mem. Amer. Math. Soc.},
    VOLUME = {163},
      YEAR = {2003},
    NUMBER = {774},
     PAGES = {viii+93},
}

@INCOLLECTION{behrend_cohomology,
    AUTHOR = {Behrend, Kai},
     TITLE = {Cohomology of stacks},
 BOOKTITLE = {Intersection theory and moduli},
    SERIES = {ICTP Lect. Notes, XIX},
     PAGES = {249--294},
 PUBLISHER = {Abdus Salam Int. Cent. Theoret. Phys., Trieste},
      YEAR = {2004},
}

@ARTICLE{behrend-noohi,
    AUTHOR = {Behrend, Kai and Noohi, Behrang},
     TITLE = {Uniformization of {D}eligne-{M}umford curves},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {599},
      YEAR = {2006},
     PAGES = {111--153},
      ISSN = {0075-4102},
     CODEN = {JRMAA8},
}

@ARTICLE{behrend-fantechi,
    AUTHOR = {Behrend, Kai and Fantechi, Barbara},
     TITLE = {The intrinsic normal cone},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {128},
      YEAR = {1997},
    NUMBER = {1},
     PAGES = {45--88},
}

@ARTICLE{BM,
      AUTHOR      = {Behrend, Kai and Manin, Yuri},
      TITLE       = {Stacks of stable maps and {G}romov-{W}itten invariants},
      JOURNAL     = {Duke Math Journal},
      YEAR        = {1996},
      VOLUME      = {85},
      PAGES       = {1--60},
      EPRINT      = {alg-geom/9506023},
}

@UNPUBLISHED{stacks_book,
	AUTHOR = {Behrend, Kai and Conrad, Brian and Edidin, Dan and Fantechi, Barbara and Fulton, William and G{\"o}ttsche, Lothar and Kresch, Andrew},
	TITLE = {Algebraic stacks},
	URL = {https://www.math.uzh.ch/index.php?pr_vo_det&key1=1287&key2=580&no_cache=1},
	YEAR = {2007},
}

@INCOLLECTION{BBD,
    AUTHOR = {Beilinson, Alexander A. and Bernstein, Joseph and Deligne, Pierre},
     TITLE = {Faisceaux pervers},
 BOOKTITLE = {Analysis and topology on singular spaces, {I} ({L}uminy, 1981)},
    SERIES = {Ast\'erisque},
    VOLUME = {100},
     PAGES = {5--171},
 PUBLISHER = {Soc. Math. France},
   ADDRESS = {Paris},
      YEAR = {1982},
}

@UNPUBLISHED{BVGD,
    AUTHOR = {Beilinson, Alexander and Drinfeld, Vladimir},
     TITLE = {Quantization of Hitchin's integrable system and Hecke eigensheaves},
      NOTE = {preprint},
     PAGES = {384},
       URL = {https://www.math.uchicago.edu/~mitya/langlands/hitchin/BD-hitchin.pdf},
}

@ARTICLE{Beilinson,
    AUTHOR = {Beilinson, A. A.},
     TITLE = {Coherent sheaves on {${\bf P}^{n}$}\ and problems in linear algebra},
   JOURNAL = {Funktsional. Anal. i Prilozhen.},
    VOLUME = {12},
      YEAR = {1978},
    NUMBER = {3},
     PAGES = {68--69},
      ISSN = {0374-1990},
}

@ARTICLE{Beilinson-derived,
    AUTHOR = {Beilinson, A. A.},
     TITLE = {The derived category of coherent sheaves on {${\bf P}^n$}},
      NOTE = {Selected translations},
   JOURNAL = {Selecta Math. Soviet.},
    VOLUME = {3},
      YEAR = {1983/84},
    NUMBER = {3},
     PAGES = {233--237},
      ISSN = {0272-9903},
}

@ARTICLE{Bennett,
    AUTHOR = {Bennett, Bruce},
     TITLE = {On the structure of non-excellent curve singularities in characteristic {$p$}},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques},
    NUMBER = {42},
      YEAR = {1973},
     PAGES = {129--170},
}

@BOOK{Berkovich,
    AUTHOR = {Berkovich, Vladimir G.},
     TITLE = {Spectral theory and analytic geometry over non-{A}rchimedean fields},
    SERIES = {Mathematical Surveys and Monographs},
    VOLUME = {33},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {1990},
     PAGES = {x+169},
}

@BOOK{Berthelot,
    AUTHOR = {Berthelot, Pierre},
     TITLE = {Cohomologie cristalline des sch\'emas de caract\'eristique {$p>0$}},
    SERIES = {Lecture Notes in Mathematics, Vol. 407},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1974},
     PAGES = {604},
}

@ARTICLE{BO,
    AUTHOR = {Berthelot, Pierre and Ogus, Arthur},
     TITLE = {{$F$}-isocrystals and de {R}ham cohomology. {I}},
   JOURNAL = {Invent. Math.},
    VOLUME = {72},
      YEAR = {1983},
    NUMBER = {2},
     PAGES = {159--199},
}

@BOOK{Berthelot-Ogus,
    AUTHOR = {Berthelot, Pierre and Ogus, Arthur},
     TITLE = {Notes on crystalline cohomology},
 PUBLISHER = {Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo},
      YEAR = {1978},
     PAGES = {vi+243},
      ISBN = {0-691-08218-9},
}

@BOOK{SGA6,
      AUTHOR      = {Berthelot, Pierre and Grothendieck, Alexander and Illusie, Luc},
      TITLE       = {Th{\'e}orie des {I}ntersections et {T}h{\'e}or{\`e}me de {R}iemann-{R}och},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1971},
      SERIES      = {Lecture notes in mathematics},
      VOLUME      = {225},
}

@MISC{Bhatt,
   AUTHOR = {Bhatt, Bhargav and de Jong, Aise Johan},
    TITLE = {Crystalline cohomology and de Rham cohomology},
   EPRINT = {1110.5001},
    EPRINTTYPE = {arXiv},
     YEAR = {2011}
}

@ARTICLE{Bhatt-local,
    AUTHOR = {Bhatt, Bhargav and de Jong, Aise Johan},
     TITLE = {Lefschetz for local {P}icard groups},
   JOURNAL = {Ann. Sci. \'Ec. Norm. Sup\'er. (4)},
    VOLUME = {47},
      YEAR = {2014},
    NUMBER = {4},
     PAGES = {833--849},
}

@ARTICLE{Bhatt-Algebraize,
    AUTHOR = {Bhatt, Bhargav},
     TITLE = {Algebraization and {T}annaka duality},
   JOURNAL = {Camb. J. Math.},
    VOLUME = {4},
      YEAR = {2016},
    NUMBER = {4},
     PAGES = {403--461},
      ISSN = {2168-0930},
       URL = {https://dx.doi.org/10.4310/CJM.2016.v4.n4.a1},
}

  AUTHOR = {Bhatt, Bhargav},
  TITLE = {Algebraization and Tannaka duality},
  PAGES = {35},
  EPRINT = {1404.7483},
    EPRINTTYPE = {arXiv},
  YEAR = {2014},
}

@MISC{BhattSmallCMMod,
	AUTHOR = {Bhatt, Bhargav},
	TITLE = {On the non-existence of small {C}ohen-{M}acaulay algebras},
	YEAR = {2012},
	EPRINT = {1207.5413},
    EPRINTTYPE = {arXiv},
}

@UNPUBLISHED{BS,
	AUTHOR = {Bhatt, Bhargav and Scholze, Peter},
	TITLE = {The pro-\'etale topology for schemes},
	YEAR = {2013},
	PAGES = {1 -- 38},
	NOTE = {preprint},
}

@ARTICLE{Witt-Grass,
    AUTHOR = {Bhatt, Bhargav and Scholze, Peter},
     TITLE = {Projectivity of the {W}itt vector affine {G}rassmannian},
   JOURNAL = {Invent. Math.},
    VOLUME = {209},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {329--423},
       URL = {https://doi.org/10.1007/s00222-016-0710-4},
}

@ARTICLE{BMS,
    AUTHOR = {Bhatt, Bhargav and Morrow, Matthew and Scholze, Peter},
     TITLE = {Integral {$p$}-adic {H}odge theory},
   JOURNAL = {Publ. Math. Inst. Hautes \'{E}tudes Sci.},
    VOLUME = {128},
      YEAR = {2018},
     PAGES = {219--397},
       URL = {https://doi.org/10.1007/s10240-019-00102-z},
}

@ARTICLE{Birman,
      AUTHOR      = {Birman, Joan},
      TITLE       = {On braid groups},
      JOURNAL     = {Comm. Pure Appl. Math.},
      VOLUME      = {22},
      YEAR        = {1968},
      PAGES       = {41--72},
}

@ARTICLE{Bkouche,
    AUTHOR = {Bkouche, Rudolphe},
     TITLE = {Puret\'e, mollesse et paracompacit\'e},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
    VOLUME = {270},
      YEAR = {1970},
}

@ARTICLE{Bloch,
    AUTHOR = {Bloch, Spencer},
     TITLE = {Algebraic cycles and higher {$K$}-theory},
   JOURNAL = {Adv. in Math.},
    VOLUME = {61},
      YEAR = {1986},
    NUMBER = {3},
     PAGES = {267--304},
      ISSN = {0001-8708},
       URL = {https://doi.org/10.1016/0001-8708(86)90081-2},
}

@ARTICLE{Bloch-moving,
    AUTHOR = {Bloch, S.},
     TITLE = {The moving lemma for higher {C}how groups},
   JOURNAL = {J. Algebraic Geom.},
    VOLUME = {3},
      YEAR = {1994},
    NUMBER = {3},
     PAGES = {537--568},
      ISSN = {1056-3911},
}

@ARTICLE{Bokstedt-Neeman,
    AUTHOR = {B{\"o}kstedt, Marcel and Neeman, Amnon},
     TITLE = {Homotopy limits in triangulated categories},
   JOURNAL = {Compositio Math.},
    VOLUME = {86},
      YEAR = {1993},
    NUMBER = {2},
     PAGES = {209--234},
}

@ARTICLE{Bondal-Orlov,
    AUTHOR = {Bondal, Alexei and Orlov, Dmitri},
     TITLE = {Reconstruction of a variety from the derived category and groups of autoequivalences},
   JOURNAL = {Compositio Math.},
    VOLUME = {125},
      YEAR = {2001},
    NUMBER = {3},
     PAGES = {327--344},
      ISSN = {0010-437X},
       URL = {https://doi.org/10.1023/A:1002470302976},
}

@ARTICLE{Bondal-Orlov-ICM,
    AUTHOR = {Bondal, A. and Orlov, D.},
     TITLE = {Derived categories of coherent sheaves},
 BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of {M}athematicians, {V}ol. {II} ({B}eijing, 2002)},
     PAGES = {47--56},
 PUBLISHER = {Higher Ed. Press, Beijing},
      YEAR = {2002},
}

@ARTICLE{Bondal-Kapranov,
    AUTHOR = {Bondal, Alexei. and Kapranov, Mikhail},
     TITLE = {Representable functors, Serre functors, and reconstructions},
   JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
    VOLUME = {53},
      YEAR = {1989},
    NUMBER = {6},
     PAGES = {1183--1205, 1337},
}

@ARTICLE{Brandenburg,
    AUTHOR = {Brandenburg, Martin},
     TITLE = {Rosenberg's reconstruction theorem},
   JOURNAL = {Expo. Math.},
    VOLUME = {36},
      YEAR = {2018},
    NUMBER = {1},
     PAGES = {98--117},
      ISSN = {0723-0869},
       URL = {https://doi.org/10.1016/j.exmath.2017.08.005},
}

@ARTICLE{BvdB,
    AUTHOR = {Bondal, Alexei and {Van den Bergh}, Michel},
     TITLE = {Generators and representability of functors in commutative and noncommutative geometry},
   JOURNAL = {Mosc. Math. J.},
    VOLUME = {3},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {1--36},
}

@BOOK{Borel,
    AUTHOR = {Borel, Armand},
     TITLE = {Linear algebraic groups},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {126},
   EDITION = {Second},
 PUBLISHER = {Springer-Verlag, New York},
      YEAR = {1991},
     PAGES = {xii+288},
       URL = {https://dx.doi.org/10.1007/978-1-4612-0941-6},
}

@ARTICLE{bcs,
    AUTHOR = {Borisov, Lev A. and Chen, Linda and Smith, Gregory George},
     TITLE = {The orbifold {C}how ring of toric {D}eligne-{M}umford stacks},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {18},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {193--215},
}

@BOOK{Bourbaki-CA,
    AUTHOR = {Bourbaki, Nicolas},
     TITLE = {\'{E}l\'ements de math\'ematique. {A}lg\`ebre commutative},
 PUBLISHER = {Hermann},
   ADDRESS = {Paris},
      YEAR = {1961},
}

@BOOK{Bourbaki,
    AUTHOR = {Bourbaki, Nicolas},
     TITLE = {\'{E}l\'ements de math\'ematique. {T}opologie g\'en\'erale. {C}hapitres 1 \`a 4},
 PUBLISHER = {Hermann},
   ADDRESS = {Paris},
      YEAR = {1971},
     PAGES = {xv+357},
}

@ARTICLE{BL-I,
    AUTHOR = {Bosch, Siegfried and L\"{u}tkebohmert, Werner},
     TITLE = {Formal and rigid geometry. {I}. {R}igid spaces},
   JOURNAL = {Math. Ann.},
    VOLUME = {295},
      YEAR = {1993},
    NUMBER = {2},
     PAGES = {291--317},
      ISSN = {0025-5831},
       URL = {https://doi.org/10.1007/BF01444889},
}

@ARTICLE{BL-II,
    AUTHOR = {Bosch, Siegfried and L\"{u}tkebohmert, Werner},
     TITLE = {Formal and rigid geometry. {II}. {F}lattening techniques},
   JOURNAL = {Math. Ann.},
    VOLUME = {296},
      YEAR = {1993},
    NUMBER = {3},
     PAGES = {403--429},
      ISSN = {0025-5831},
       URL = {https://doi.org/10.1007/BF01445112},
}

@ARTICLE{BLR-III,
    AUTHOR = {Bosch, Siegfried and L\"{u}tkebohmert, Werner and Raynaud, Michel},
     TITLE = {Formal and rigid geometry. {III}. {T}he relative maximum principle},
   JOURNAL = {Math. Ann.},
    VOLUME = {302},
      YEAR = {1995},
    NUMBER = {1},
     PAGES = {1--29},
      ISSN = {0025-5831},
       URL = {https://doi.org/10.1007/BF01444485},
}

@ARTICLE{BLR-IV,
    AUTHOR = {Bosch, Siegfried and L\"{u}tkebohmert, Werner and Raynaud, Michel},
     TITLE = {Formal and rigid geometry. {IV}. {T}he reduced fibre theorem},
   JOURNAL = {Invent. Math.},
    VOLUME = {119},
      YEAR = {1995},
    NUMBER = {2},
     PAGES = {361--398},
      ISSN = {0020-9910},
       URL = {https://doi.org/10.1007/BF01245187},
}

@BOOK{Ner,
      AUTHOR      = {Bosch, Siegfried and L{\"u}tkebohmert, Werner and Raynaud, Michel},
      TITLE       = {N\'eron Models},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1990},
      VOLUME      = {21},
      SERIES      = {Ergebnisse der {M}athematik und ihrer {G}renzgebiete},
}

@ARTICLE{Brieskorn,
    AUTHOR = {Brieskorn, Egbert},
     TITLE = {Rationale {S}ingularit\"aten komplexer {F}l\"achen},
   JOURNAL = {Invent. Math.},
    VOLUME = {4},
      YEAR = {1967/1968},
     PAGES = {336--358},
}

@ARTICLE{WhatExact,
    AUTHOR = {Buchsbaum, David Alvin and Eisenbud, David},
     TITLE = {What makes a complex exact?},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {25},
      YEAR = {1973},
     PAGES = {259--268}
}

@ARTICLE{Buhler,
    AUTHOR = {B{\"u}hler, Theo},
     TITLE = {Exact categories},
   JOURNAL = {Expo. Math.},
  FJOURNAL = {Expositiones Mathematicae},
    VOLUME = {28},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {1--69}
}

%%%%%%%%%%%%%%%%%%%%%% C %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{cadman,
    AUTHOR = {Cadman, Charles},
     TITLE = {Using stacks to impose tangency conditions on curves},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {129},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {405--427},
}

@ARTICLE{Ca,
      AUTHOR      = {Campana, Frederic},
      TITLE       = {Connexit{\'e} rationnelle des vari{\'e}t{\'e}s de {F}ano},
      JOURNAL     = {Ann. Sc. E. N. S.},
      YEAR        = {1992},
      VOLUME      = {25},
      PAGES       = {539-545},
}

@ARTICLE{C91,
      AUTHOR      = {Campana, Frederic},
      TITLE       = {On the twistor spaces of class $\mathcal{C}$},
      JOURNAL     = {J. Diff. Geom.},
      YEAR        = {1991},
      VOLUME      = {33},
      PAGES       = {541-549},
}

@BOOK{Cartan-Eilenberg,
    AUTHOR = {Cartan, Henri and Eilenberg, Samuel},
     TITLE = {Homological algebra},
 PUBLISHER = {Princeton University Press},
   ADDRESS = {Princeton, N. J.},
      YEAR = {1956},
     PAGES = {xv+390},
}

@ARTICLE{C,
    AUTHOR = {Castravet, Ana-Maria},
     TITLE = {Rational families of vector bundles on curves},
   JOURNAL = {Internat. J. Math.},
  FJOURNAL = {International Journal of Mathematics},
    VOLUME = {15},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {13--45},
}

@ARTICLE{KC,
      AUTHOR = {Kestutis Cesnavicius},
      TITLE  = {Problems about torsors over regular rings (with an appendix by Yifei Zhao)},
      YEAR   = {2022},
      EPRINT = {2201.06424},
      EPRINTTYPE = {arXiv},
      URL = {https://arxiv.org/abs/2201.06424},
}

@ARTICLE{CP,
    AUTHOR = {Charles, Fran\c{c}ois and Poonen, Bjorn},
     TITLE = {Bertini irreducibility theorems over finite fields},
   JOURNAL = {J. Amer. Math. Soc.},
    VOLUME = {29},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {81--94},
      ISSN = {0894-0347},
       URL = {https://doi.org/10.1090/S0894-0347-2014-00820-1},
}

@ARTICLE{Chase,
    AUTHOR = {Chase, Stephen U.},
     TITLE = {Direct products of modules},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {97},
      YEAR = {1960},
     PAGES = {457--473},
}

@ARTICLE{Chevalley35,
      AUTHOR      = {Chevalley, Claude},
      TITLE       = {D{\'e}monstration d{'}une hypoth{\`e}se de {M}. {A}rtin},
      JOURNAL     = {Abh. Math. S{\'e}min. Hamburg. Univ.},
      VOLUME      = {11},
      YEAR        = {1935},
      PAGES       = {73 -- 75},
}
% this seems to be wrong:
% https://www.zentralblatt-math.org/zmath/en/search/?q=an:0011.14504&format=complete
% it's M. Artin in the title, but either it was written in 1935 and it's Emil
% (Chevalley being really young), or it is (probably) Michael Artin and it's 1975.
%
% No, it is 1935 and the M. stands for Monsieur not for Michael! So it is Emil Artin.
% In 1935 Chevalley could not know this would lead to confusion as Michael was only
% 1 year old...

@ARTICLE{ChevalleyI,
      AUTHOR      = {Chevalley, Claude},
	TITLE	= {Les classes d{'}equivalence rationnelles I},
	JOURNAL	= {S{'}eminair Claude Chevalley},
	PAGES	= {14},
	YEAR	= {1958},
}

@ARTICLE{ChevalleyII,
      AUTHOR      = {Chevalley, Claude},
	TITLE	= {Les classes d{'}equivalence rationnelles {II}},
	JOURNAL	= {S{'}eminair Claude Chevalley},
	PAGES	= {18},
	YEAR	= {1958},
}

@ARTICLE{Chevalley-power-series,
    AUTHOR = {Chevalley, Claude},
     TITLE = {Some properties of ideals in rings of power series},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {55},
      YEAR = {1944},
     PAGES = {68--84},
}

@ARTICLE{Chow-Bertini,
    AUTHOR = {Chow, Wei Liang},
     TITLE = {On the theorem of {B}ertini for local domains},
   JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
    VOLUME = {44},
      YEAR = {1958},
     PAGES = {580--584},
      ISSN = {0027-8424},
}

@ARTICLE{CKN,
    AUTHOR = {Christensen, J. Daniel and Keller, Bernhard and Neeman, Amnon},
     TITLE = {Failure of {B}rown representability in derived categories},
   JOURNAL = {Topology},
    VOLUME = {40},
      YEAR = {2001},
    NUMBER = {6},
     PAGES = {1339--1361},
      ISSN = {0040-9383},
       URL = {https://doi.org/10.1016/S0040-9383(00)00015-X},
}

@ARTICLE{Cipu,
    AUTHOR = {Cipu, Mihai and Popescu, Dorin},
     TITLE = {A desingularization theorem of {N}\'eron type},
   JOURNAL = {Ann. Univ. Ferrara Sez. {VII} (N.S.)},
    VOLUME = {30},
      YEAR = {1984},
     PAGES = {63--76},
}

@ARTICLE{Clebsch,
      AUTHOR      = {Clebsch, Alfred},
      TITLE       = {Zur {T}heorie der {R}iemann'schen {F}lachen},
      JOURNAL     = {Mathematische Annalen},
      YEAR        = {1872},
      VOLUME      = {6},
      PAGES       = {216--230},
}

@ARTICLE{CG,
      AUTHOR      = {Clemens, Herbert Clemens and Griffiths, Phillip Augustus},
      TITLE       = {The Intermediate {J}acobian of the Cubic Threefold},
      JOURNAL     = {Annals of Mathematics},
      YEAR        = {1972},
      VOLUME      = {95},
      PAGES       = {281--356},
}

@UNPUBLISHED{CT,
      AUTHOR      = {Colliot-Th{\'e}l{\`e}ne, Jean-Louis},
      TITLE       = {Die {B}rauersche {G}ruppe; ihre {V}erallgemeinerungen und {A}nwendungen in der {A}rithmetischen {G}eometrie},
      YEAR        = {2001},
      NOTE        = {preprint},
      URL         = {https://www.math.u-psud.fr/~colliot/brauer.ps},
}
% it's not really a preprint I think

@ARTICLE{Canonaco-Stellari,
    AUTHOR = {Canonaco, Alberto and Stellari, Paolo},
     TITLE = {Fourier-{M}ukai functors in the supported case},
   JOURNAL = {Compos. Math.},
    VOLUME = {150},
      YEAR = {2014},
    NUMBER = {8},
     PAGES = {1349--1383},
      ISSN = {0010-437X},
       URL = {https://doi.org/10.1112/S0010437X13007872},
}

@ARTICLE{conrad,
  AUTHOR = {Conrad, Brian},
  TITLE = {Keel-Mori theorem via stacks},
  URL = {https://math.stanford.edu/~conrad/papers/coarsespace.pdf},
  YEAR = {2005},
}

@ARTICLE{conrad_gaga,
  AUTHOR = {Conrad, Brian},
  TITLE = {Formal GAGA for Artin stacks},
  URL = {https://math.stanford.edu/~conrad/papers/formalgaga.pdf},
  YEAR = {2005},
}

@BOOK{Conrad-GD,
    AUTHOR = {Conrad, Brian},
     TITLE = {Grothendieck duality and base change},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {1750},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {2000},
     PAGES = {vi+296},
       URL = {https://dx.doi.org/10.1007/b75857},
}

@ARTICLE{Conrad-Nagata,
    AUTHOR = {Conrad, Brian},
     TITLE = {Deligne's notes on {N}agata compactifications},
   JOURNAL = {J. Ramanujan Math. Soc.},
  FJOURNAL = {Journal of the Ramanujan Mathematical Society},
    VOLUME = {22},
      YEAR = {2007},
    NUMBER = {3},
     PAGES = {205--257},
      ISSN = {0970-1249},
}

@ARTICLE{conrad-dejong,
    AUTHOR = {Conrad, Brian and de Jong, Aise Johan},
     TITLE = {Approximation of versal deformations},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {255},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {489--515},
      ISSN = {0021-8693},
     CODEN = {JALGA4},
}

@ARTICLE{Conrad-moduli,
    AUTHOR = {Conrad, Brian},
     TITLE = {Arithmetic moduli of generalized elliptic curves},
   JOURNAL = {J. Inst. Math. Jussieu},
    VOLUME = {6},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {209--278},
       URL = {https://dx.doi.org/10.1017/S1474748006000089},
}

@ARTICLE{CLO,
    AUTHOR = {Conrad, Brian and Lieblich, Max and Olsson, Martin},
     TITLE = {Nagata compactification for algebraic spaces},
   JOURNAL = {J. Inst. Math. Jussieu},
    VOLUME = {11},
      YEAR = {2012},
    NUMBER = {4},
     PAGES = {747--814},
}

@ARTICLE{Coombes,
      AUTHOR      = {Coombes, Kevin Robert},
      TITLE       = {Every rational surface is separably split},
      JOURNAL     = {Comment. Math. Helv.},
      YEAR        = {1988},
      VOLUME      = {63},
      PAGES       = {305--311},
}

@BOOK{CosDol,
      AUTHOR      = {Cossec, Fran{\c{c}}ois and Dolgachev, Igor},
      TITLE       = {Enriques Surfaces {I}},
      PUBLISHER   = {Birkh{\"{a}}user},
      YEAR        = {1989},
      SERIES      = {Progress in Mathematics},
      VOLUME      = {76},
}

@INCOLLECTION{Costa,
    AUTHOR = {Costa, Douglas L.},
     TITLE = {Seminormality and projective modules},
 BOOKTITLE = {Paul {D}ubreil and {M}arie-{P}aule {M}alliavin {A}lgebra {S}eminar, 34th {Y}ear ({P}aris, 1981)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {924},
     PAGES = {400--412},
 PUBLISHER = {Springer, Berlin-New York},
      YEAR = {1982},
}

@ARTICLE{Crew,
      AUTHOR      = {Crew, Richard},
      TITLE       = {Etale $p$-covers in characteristic $p$},
      JOURNAL     = {Compositio Mathematica},
      YEAR        = {1984},
      VOLUME      = {52},
      PAGES       = {31--45},
}

@BOOK{CK,
      AUTHOR      = {Cox, David Archibald and Katz, Sheldon},
      TITLE       = {Mirror Symmetry and Algebraic Geometry},
      PUBLISHER   = {American Mathematical Society},
      YEAR        = {1999},
      VOLUME      = {68},
      SERIES      = {Mathematical Surveys},
}

%%%%%%%%%%%%%%%%%%%%%% D %%%%%%%%%%%%%%%%%%%%%%


@ARTICLE{DS18,
	AUTHOR = {Rankeya Datta and Karen E. Smith},
	TITLE = {Excellence in prime  characteristic},
	JOURNAL = {Contemp. Math.},
	VOLUME = {712},
	PUBLISHER = {Amer. Math. Soc.},
	YEAR = {2018},
	PAGES = {105--116},
}

@BOOK{De,
      AUTHOR      = {Debarre, Olivier},
      TITLE       = {Higher-dimensional algebraic geometry},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {2001},
      SERIES      = {Universitext},
}

@ARTICLE{DBX,
    AUTHOR = {Debarre, Olivier},
     TITLE = {Vari\'et\'es rationnellement connexes (d'apr\`es {T}. {G}raber, {J}. {H}arris, {J}. {S}tarr et {A}. {J}. de {J}ong)},
      NOTE = {S\'eminaire Bourbaki. Vol. 2001/2002},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {290},
      YEAR = {2003},
     PAGES = {243--266},
      ISSN = {0303-1179},
}

@ARTICLE{D,
    AUTHOR = {Deligne, P.},
     TITLE = {Th\'{e}or\`eme de {L}efschetz et crit\`eres de d\'{e}g\'{e}n\'{e}rescence de suites spectrales},
   JOURNAL = {Inst. Hautes \'{E}tudes Sci. Publ. Math.},
    NUMBER = {35},
      YEAR = {1968},
     PAGES = {259--278},
      ISSN = {0073-8301,1618-1913},
       URL = {http://www.numdam.org/item/PMIHES_1968__35__107_0},
}

@ARTICLE{WeilI,
    AUTHOR = {Deligne, Pierre},
     TITLE = {La conjecture de {W}eil. {I}},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    NUMBER = {43},
      YEAR = {1974},
     PAGES = {273--307},
}

@ARTICLE{WeilII,
    AUTHOR = {Deligne, Pierre},
     TITLE = {La conjecture de {W}eil. {II}},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    NUMBER = {52},
      YEAR = {1980},
     PAGES = {137--252},
}

@ARTICLE{HodgeII,
    AUTHOR = {Deligne, Pierre},
     TITLE = {Th\'eorie de {H}odge. {II}},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    NUMBER = {40},
      YEAR = {1971},
     PAGES = {5--57},
}

@ARTICLE{HodgeIII,
    AUTHOR = {Deligne, Pierre},
     TITLE = {Th\'eorie de {H}odge. {III}},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    NUMBER = {44},
      YEAR = {1974},
     PAGES = {5--77},
}

@ARTICLE{DM,
      AUTHOR      = {Deligne, Pierre and Mumford, David},
      TITLE       = {The irreducibility of the space of curves of given genus},
      JOURNAL     = {Publ. Math. IHES},
      VOLUME      = {36},
      YEAR        = {1969},
      PAGES       = {75--110},
}

@BOOK{SGA4.5,
	AUTHOR = {Deligne, Pierre},
	TITLE = {Cohomologie \'etale},
	PUBLISHER = {Springer-Verlag},
	SERIES = {Lecture Notes in Mathematics},
	YEAR = {1977},
	NUMBER = {569},
}

@BOOK{SGA7-II,
      AUTHOR = {Deligne, Pierre and Katz, Nicholas},
      TITLE = {Groupes de monodromie en g\'eom\'etrie alg\'ebrique. {II}},
      SERIES = {Lecture Notes in Mathematics, Vol 340},
      NOTE = {S{\'e}minaire de G{\'e}om{\'e}trie Alg{\'e}brique du Bois-Marie 1967--1969 (SGA 7, {II})},
      PUBLISHER = {Springer-Verlag},
      YEAR = {1973},
      PAGES = {x+438},
}

@BOOK{DMOS,
    AUTHOR = {Deligne, Pierre and Milne, James S. and Ogus, Arthur and Shih, Kuang-yen},
     TITLE = {Hodge cycles, motives, and {S}himura varieties},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {900},
 PUBLISHER = {Springer-Verlag, Berlin-New York},
      YEAR = {1982},
     PAGES = {ii+414},
      ISBN = {3-540-11174-3},
}

@INCOLLECTION{Deligne-tannakian,
    AUTHOR = {Deligne, P.},
     TITLE = {Cat\'{e}gories tannakiennes},
 BOOKTITLE = {The {G}rothendieck {F}estschrift, {V}ol. {II}},
    SERIES = {Progr. Math.},
    VOLUME = {87},
     PAGES = {111--195},
 PUBLISHER = {Birkh\"{a}user Boston, Boston, MA},
      YEAR = {1990},
}

@ARTICLE{Deligne-Illusie,
    AUTHOR = {Deligne, Pierre and Illusie, Luc},
     TITLE = {Rel\`evements modulo {$p^2$} et d\'{e}composition du complexe de de {R}ham},
   JOURNAL = {Invent. Math.},
    VOLUME = {89},
      YEAR = {1987},
    NUMBER = {2},
     PAGES = {247--270},
      ISSN = {0020-9910},
       URL = {https://doi.org/10.1007/BF01389078},
}

@ARTICLE{DeMarco,
    AUTHOR = {De Marco, Guiseppe},
     TITLE = {Projectivity of pure ideals},
   JOURNAL = {Rend. Sem. Mat. Univ. Padova},
    VOLUME = {69},
      YEAR = {1983},
     PAGES = {289--304},
       URL = {http://www.numdam.org/item?id=RSMUP_1983__69__289_0},
}

@ARTICLE{Demazure-motifs,
	AUTHOR = {Demazure, Michel},
	TITLE = {Motifs des vari\'et\'es alg\'ebriques},
	SERIES = {S\'eminaire Bourbaki},
	YEAR = {1969/70},
	NOTE = {Talk no. 365},
}

@ARTICLE{Deninger-Murre,
    AUTHOR = {Deninger, Christopher and Murre, Jacob},
     TITLE = {Motivic decomposition of abelian schemes and the {F}ourier transform},
   JOURNAL = {J. Reine Angew. Math.},
    VOLUME = {422},
      YEAR = {1991},
     PAGES = {201--219},
      ISSN = {0075-4102},
}

@BOOK{Deuring,
    AUTHOR = {Deuring, Max},
     TITLE = {Algebren},
    SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1968},
     PAGES = {viii+143},
}

@ARTICLE{EGA,
    AUTHOR = {Dieudonn{\'e}, Jean and Grothendieck, Alexander},
     TITLE = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    VOLUME = {4, 8, 11, 17, 20, 24, 28, 32},
      YEAR = {1961--1967},
}
% these should be separate books

@ARTICLE{Doncel,
    AUTHOR = {Doncel, Jos{\'e} Lu{\'i}s and Rodr{\'i}guez-Grandje{\'a}n, Alfredo and Vale, Maria Jes{\'u}s},
     TITLE = {On the homology of commutative algebras},
   JOURNAL = {J. Pure Appl. Algebra},
    VOLUME = {79},
      YEAR = {1992},
    NUMBER = {2},
     PAGES = {131--157},
}

@ARTICLE{Drinfeld-number,
    AUTHOR = {Vl{\`e}du{\c{t}}, Sergei Georgievich and Drinfel'd, Vladimir Gershonovich},
     TITLE = {The number of points of an algebraic curve},
   JOURNAL = {Funktsional. Anal. i Prilozhen.},
  FJOURNAL = {Akademiya Nauk SSSR. Funktsional\cprime ny\u\i\ Analiz i ego Prilozheniya},
    VOLUME = {17},
      YEAR = {1983},
    NUMBER = {1},
     PAGES = {68--69},
      ISSN = {0374-1990},
}

@ARTICLE{D2,
    AUTHOR = {Drinfel'd, Vladimir Gershonovich},
     TITLE = {Two-dimensional {$l$}-adic representations of the {G}alois group of a global field of characteristic {$p$} and automorphic forms on {${\rm GL}(2)$}},
      NOTE = {Automorphic functions and number theory, {II}},
   JOURNAL = {Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)},
  FJOURNAL = {Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta imeni V. A. Steklova Akademii Nauk SSSR (LOMI)},
    VOLUME = {134},
      YEAR = {1984},
     PAGES = {138--156},
}

@ARTICLE{D1,
    AUTHOR = {Drinfel'd, Vladimir Gershonovich},
     TITLE = {Two-dimensional {$l$}-adic representations of the fundamental group of a curve over a finite field and automorphic forms on {${\rm GL}(2)$}},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {105},
      YEAR = {1983},
    NUMBER = {1},
     PAGES = {85--114},
}

@INPROCEEDINGS{D0,
    AUTHOR = {Drinfel'd, Vladimir Gershonovich},
     TITLE = {Langlands' conjecture for {${\rm GL}(2)$} over functional fields},
 BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of {M}athematicians ({H}elsinki, 1978)},
     PAGES = {565--574},
 PUBLISHER = {Acad. Sci. Fennica},
   ADDRESS = {Helsinki},
      YEAR = {1980},
}

@ARTICLE{Dumitrescu,
    AUTHOR = {Dumitrescu, Tiberiu},
     TITLE = {On some examples of atomic domains and of {$G$}-rings},
   JOURNAL = {Comm. Algebra},
    VOLUME = {28},
      YEAR = {2000},
    NUMBER = {3},
     PAGES = {1115--1123},
}

@ARTICLE{Dwyer-Greenlees,
    AUTHOR = {Dwyer, William G. and Greenlees, John Patrick Campbell},
     TITLE = {Complete modules and torsion modules},
   JOURNAL = {Amer. J. Math.},
    VOLUME = {124},
      YEAR = {2002},
    NUMBER = {1},
     PAGES = {199--220},
}

%%%%%%%%%%%%%%%%%%%%%% E %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Eakin,
    AUTHOR = {Eakin, Jr., Paul Mechlin},
     TITLE = {The converse to a well known theorem on {N}oetherian rings},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {177},
      YEAR = {1968},
     PAGES = {278--282},
}

@ARTICLE{edidin-graham,
    AUTHOR = {Edidin, Dan and Graham, William},
     TITLE = {Equivariant intersection theory},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {131},
      YEAR = {1998},
    NUMBER = {3},
     PAGES = {595--634},
}

@ARTICLE{edidin_whatis,
    AUTHOR = {Edidin, Dan},
     TITLE = {What is a Stack?},
   JOURNAL = {Notices Amer. Math. Soc.},
  FJOURNAL = {Notices of the American Mathematical Society},
    VOLUME = {50},
      YEAR = {2003},
    NUMBER = {4},
     PAGES = {458--459},
}

@INCOLLECTION{edidin_notes,
    AUTHOR = {Edidin, Dan},
     TITLE = {Notes on the construction of the moduli space of curves},
 BOOKTITLE = {Recent progress in intersection theory ({B}ologna, 1997)},
    SERIES = {Trends Math.},
     PAGES = {85--113},
 PUBLISHER = {Birkh\"auser Boston},
   ADDRESS = {Boston, MA},
      YEAR = {2000},
}

@ARTICLE{ehkv,
    AUTHOR = {Edidin, Dan and Hassett, Brendan and Kresch, Andrew and Vistoli, Angelo},
     TITLE = {Brauer groups and quotient stacks},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {123},
      YEAR = {2001},
    NUMBER = {4},
     PAGES = {761--777},
}

@ARTICLE{GenEqui,
	AUTHOR	= {Eilenberg, Samuel and {Mac Lane}, Saunders},
	TITLE	= {General theory of natural equivalences},
	JOURNAL	= {Transactions of the American Mathematical Society},
	VOLUME	= {58},
	YEAR	= {1945},
	PAGES	= {231--294},
}

@BOOK{Eilenberg-Steenrod,
    AUTHOR = {Eilenberg, Samuel and Steenrod, Norman},
     TITLE = {Foundations of algebraic topology},
 PUBLISHER = {Princeton University Press, Princeton, New Jersey},
      YEAR = {1952},
     PAGES = {xv+328},
}

@ARTICLE{Eilenberg-Zilber,
    AUTHOR = {Eilenberg, Samuel and Zilber, Joseph Abraham},
     TITLE = {On products of complexes},
   JOURNAL = {Amer. J. Math.},
 SHORTJOURNAL = {American Journal of Mathematics},
    VOLUME = {75},
      YEAR = {1953},
     PAGES = {200--204},
      ISSN = {0002-9327},
}

@ARTICLE{EMY,
    AUTHOR = {Ein, Lawrence and Musta{\c{t}}{\u{a}}, Mircea and Yasuda, Takehiko},
     TITLE = {Jet schemes, log discrepancies and inversion of adjunction},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {153},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {519--535},
}

@ARTICLE{MR2102399,
    AUTHOR = {Ein, Lawrence and Musta{\c{t}}{\u{a}}, Mircea},
     TITLE = {Inversion of adjunction for local complete intersection varieties},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {126},
      YEAR = {2004},
    NUMBER = {6},
     PAGES = {1355--1365},
}

@BOOK{Eisenbud,
      AUTHOR      = {Eisenbud, David},
      TITLE       = {Commutative Algebra},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1995},
      VOLUME      = {150},
      SERIES      = {Graduate Texts in Mathematics},
}

@ARTICLE{Eis,
    AUTHOR = {Eisenbud, David and Huneke, Craig},
     TITLE = {A finiteness property of infinite resolutions},
   JOURNAL = {J. Pure Appl. Algebra},
    VOLUME = {201},
      YEAR = {2005},
    NUMBER = {1-3},
     PAGES = {284--294},
}

@ARTICLE{Elkik,
    AUTHOR = {Elkik, Ren{\'e}e},
     TITLE = {Solutions d'\'equations \`a coefficients dans un anneau hens\'elien},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
    VOLUME = {6},
      YEAR = {1973},
     PAGES = {553--603},
}

@ARTICLE{EHIK,
    AUTHOR = {Elmanto, Elden and Hoyois, Marc and Iwasa, Ryomei and Kelly, Shane},
     TITLE = {Cdh descent, cdarc descent, and {M}ilnor excision},
   JOURNAL = {Math. Ann.},
    VOLUME = {379},
      YEAR = {2021},
    NUMBER = {3-4},
     PAGES = {1011--1045},
      ISSN = {0025-5831},
       URL = {https://doi.org/10.1007/s00208-020-02083-5},
}

@ARTICLE{Ekedahl,
    AUTHOR = {Ekedahl, Torsten},
     TITLE = {On the adic formalism},
 BOOKTITLE = {The Grothendieck Festschrift, Vol.\ II},
    VOLUME = {87},
    SERIES = {Progr. Math.},
     PAGES = {197--218},
 PUBLISHER = {Birkh{\"a}user Boston, Boston, MA},
      YEAR = {1990},
}

@ARTICLE{Emerton-Gee,
	AUTHOR = {Emerton, Matthew and Gee, Toby},
	TITLE = {``Scheme-theoretic images'' of morphisms of stacks},
	YEAR = {2015},
	EPRINT = {1506.06146},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{Emerton-Gee-dim,
	AUTHOR = {Emerton, Matthew and Gee, Toby},
	TITLE = {Dimension theory and components of algebraic stacks},
	YEAR = {2017},
	EPRINT = {1704.07654},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{Emmanouil,
    AUTHOR = {Emmanouil, Ioannis},
     TITLE = {Mittag-{L}effler condition and the vanishing of {$\varprojlim^1$}},
   JOURNAL = {Topology},
    VOLUME = {35},
      YEAR = {1996},
    NUMBER = {1},
     PAGES = {267--271},
       URL = {https://dx.doi.org/10.1016/0040-9383(94)00056-5},
}

@BOOK{Engelking,
	AUTHOR	= {Engelking, Ryszard},
	TITLE	= {General Topology},
	PUBLISHER	= {Taylor \& Francis},
	YEAR	= {1977},
}

@ARTICLE{Epp,
    AUTHOR = {Epp, Helmut P.},
     TITLE = {Eliminating wild ramification},
   JOURNAL = {Invent. Math.},
    VOLUME = {19},
      YEAR = {1973},
     PAGES = {235--249},
}

@ARTICLE{MR1943746,
    AUTHOR = {Esnault, H{\'e}l{\`e}ne},
     TITLE = {Varieties over a finite field with trivial {C}how group of 0-cycles have a rational point},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {151},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {187--191},
}

%%%%%%%%%%%%%%%%%%%%%% F %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Faltings-finiteness,
    AUTHOR = {Faltings, Gerd},
     TITLE = {Der {E}ndlichkeitssatz in der lokalen {K}ohomologie},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {255},
      YEAR = {1981},
    NUMBER = {1},
     PAGES = {45--56},
       URL = {https://dx.doi.org/10.1007/BF01450555},
}

@ARTICLE{Faltings-kriterium,
    AUTHOR = {Faltings, Gerd},
     TITLE = {Ein {K}riterium f\"ur vollst\"andige {D}urchschnitte},
   JOURNAL = {Invent. Math.},
    VOLUME = {62},
      YEAR = {1981},
    NUMBER = {3},
     PAGES = {393--401},
      ISSN = {0020-9910},
       URL = {https://dx.doi.org/10.1007/BF01394251},
}

@ARTICLE{Faltings-some,
    AUTHOR = {Faltings, Gerd},
     TITLE = {Some theorems about formal functions},
   JOURNAL = {Publ. Res. Inst. Math. Sci.},
    VOLUME = {16},
      YEAR = {1980},
    NUMBER = {3},
     PAGES = {721--737},
      ISSN = {0034-5318},
       URL = {https://dx.doi.org/10.2977/prims/1195186927},
}

@ARTICLE{Faltings-contribution,
    AUTHOR = {Faltings, Gerd},
     TITLE = {A contribution to the theory of formal meromorphic functions},
   JOURNAL = {Nagoya Math. J.},
    VOLUME = {77},
      YEAR = {1980},
     PAGES = {99--106},
      ISSN = {0027-7630},
       URL = {https://projecteuclid.org/euclid.nmj/1118786022},
}

@ARTICLE{Faltings-uber,
    AUTHOR = {Faltings, Gerd},
     TITLE = {\"Uber lokale {K}ohomologiegruppen hoher {O}rdnung},
   JOURNAL = {J. Reine Angew. Math.},
    VOLUME = {313},
      YEAR = {1980},
     PAGES = {43--51},
      ISSN = {0075-4102},
       URL = {https://dx.doi.org/10.1515/crll.1980.313.43},
}

@ARTICLE{Faltings-algebraisation,
    AUTHOR = {Faltings, Gerd},
     TITLE = {Algebraisation of some formal vector bundles},
   JOURNAL = {Ann. of Math. (2)},
    VOLUME = {110},
      YEAR = {1979},
    NUMBER = {3},
     PAGES = {501--514},
      ISSN = {0003-486X},
       URL = {https://dx.doi.org/10.2307/1971235},
}

@ARTICLE{Faltings-erganzungen,
    AUTHOR = {Faltings, Gerd},
     TITLE = {Erg\"anzungen zu einem {A}rtikel \"uber dualisierende {K}omplexe},
   JOURNAL = {Arch. Math. (Basel)},
    VOLUME = {32},
      YEAR = {1979},
    NUMBER = {1},
     PAGES = {31--33},
      ISSN = {0003-889X},
       URL = {https://dx.doi.org/10.1007/BF01238465},
}

@ARTICLE{Faltings-Macaulayfizierung,
    AUTHOR = {Faltings, Gerd},
     TITLE = {\"Uber {M}acaulayfizierung},
   JOURNAL = {Math. Ann.},
    VOLUME = {238},
      YEAR = {1978},
    NUMBER = {2},
     PAGES = {175--192},
      ISSN = {0025-5831},
       URL = {https://dx.doi.org/10.1007/BF01424774},
}

@ARTICLE{Faltings-dualizing,
    AUTHOR = {Faltings, Gerd},
     TITLE = {Zur {E}xistenz dualisierender {K}omplexe},
   JOURNAL = {Math. Z.},
    VOLUME = {162},
      YEAR = {1978},
    NUMBER = {1},
     PAGES = {75--86},
       URL = {https://dx.doi.org/10.1007/BF01437825},
}

@ARTICLE{Faltings-annulators,
    AUTHOR = {Faltings, Gerd},
     TITLE = {\"{U}ber die {A}nnulatoren lokaler {K}ohomologiegruppen},
   JOURNAL = {Arch. Math. (Basel)},
    VOLUME = {30},
      YEAR = {1978},
    NUMBER = {5},
     PAGES = {473--476},
}

@ARTICLE{Faltings-einfacher,
    AUTHOR = {Faltings, Gerd},
     TITLE = {Ein einfacher {B}eweis, dass geometrische {R}egularit\"at formale {G}lattheit impliziert},
   JOURNAL = {Arch. Math. (Basel)},
    VOLUME = {30},
      YEAR = {1978},
    NUMBER = {3},
     PAGES = {284--285},
}

@ARTICLE{faltings,
    AUTHOR = {Faltings, Gerd},
     TITLE = {Stable {$G$}-bundles and projective connections},
   JOURNAL = {J. Algebraic Geom.},
  FJOURNAL = {Journal of Algebraic Geometry},
    VOLUME = {2},
      YEAR = {1993},
    NUMBER = {3},
     PAGES = {507--568},
      ISSN = {1056-3911},
}

@ARTICLE{faltings_finiteness,
    AUTHOR = {Faltings, Gerd},
     TITLE = {Finiteness of coherent cohomology for proper fppf stacks},
   JOURNAL = {J. Algebraic Geom.},
  FJOURNAL = {Journal of Algebraic Geometry},
    VOLUME = {12},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {357--366},
      ISSN = {1056-3911},
}

@ARTICLE{Faltings-very,
    AUTHOR = {Faltings, Gerd},
     TITLE = {Integral crystalline cohomology over very ramified valuation rings},
   JOURNAL = {J. Amer. Math. Soc.},
    VOLUME = {12},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {117--144},
}

@INCOLLECTION{fantechi_stacks,
    AUTHOR = {Fantechi, Barbara},
     TITLE = {Stacks for everybody},
 BOOKTITLE = {European {C}ongress of {M}athematics, {V}ol. {I} ({B}arcelona, 2000)},
    SERIES = {Progr. Math.},
    VOLUME = {201},
     PAGES = {349--359},
 PUBLISHER = {Birkh\"auser},
   ADDRESS = {Basel},
      YEAR = {2001},
}

@ARTICLE{MR1887119,
    AUTHOR = {Fantechi, Barbara and Pandharipande, Rahul},
     TITLE = {Stable maps and branch divisors},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {130},
      YEAR = {2002},
    NUMBER = {3},
     PAGES = {345--364},
}

@ARTICLE{fmn,
  AUTHOR = {Fantechi, Barbara and Mann, Etienne and Nironi, Fabio},
  TITLE = {Smooth toric DM stacks},
  JOURNAL = {math.AG/0708.1254},
  YEAR = {2007}
}

@ARTICLE{Ferrand,
    AUTHOR = {Ferrand, Daniel},
     TITLE = {Descente de la platitude par un homomorphisme fini},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
    VOLUME = {269},
      YEAR = {1969},
}

@ARTICLE{Ferrand-epi,
    AUTHOR = {Ferrand, Daniel},
     TITLE = {\'{E}pimorphismes d'anneaux et alg\`ebres s\'eparables},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
    VOLUME = {265},
      YEAR = {1967},
     PAGES = {A411--A414},
}

@ARTICLE{Ferrand-Raynaud,
    AUTHOR = {Ferrand, Daniel and Raynaud, Michel},
     TITLE = {Fibres formelles d'un anneau local noeth\'erien},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
    VOLUME = {3},
      YEAR = {1970},
     PAGES = {295--311},
      ISSN = {0012-9593},
}

@ARTICLE{Ferrand-Conducteur,
    AUTHOR = {Ferrand, Daniel},
     TITLE = {Conducteur, descente et pincement},
   JOURNAL = {Bull. Soc. Math. France},
    VOLUME = {131},
      YEAR = {2003},
    NUMBER = {4},
     PAGES = {553--585},
      ISSN = {0037-9484},
}

@ARTICLE{Ferrand-lci,
    AUTHOR = {Ferrand, Daniel},
     TITLE = {Suite r\'{e}guli\`ere et intersection compl\`ete},
   JOURNAL = {C. R. Acad. Sci. Paris S\'{e}r. A-B},
    VOLUME = {264},
      YEAR = {1967},
     PAGES = {A427--A428},
      ISSN = {0151-0509},
}

@BOOK{Fischer,
    AUTHOR = {Fischer, Gerd},
     TITLE = {Complex analytic geometry},
    SERIES = {Lecture Notes in Mathematics, Vol. 538},
 PUBLISHER = {Springer-Verlag, Berlin-New York},
      YEAR = {1976},
     PAGES = {vii+201},
}

@ARTICLE{Flenner,
    AUTHOR = {Flenner, Hubert},
     TITLE = {Ein {K}riterium f\"ur die {O}ffenheit der {V}ersalit\"at},
   JOURNAL = {Math. Z.},
    VOLUME = {178},
      YEAR = {1981},
    NUMBER = {4},
     PAGES = {449--473},
}

@BOOK{Forster,
    AUTHOR = {Forster, Otto},
     TITLE = {Lectures on {R}iemann surfaces},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {81},
      NOTE = {Translated from the 1977 German original by Bruce Gilligan, Reprint of the 1981 English translation},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1991},
     PAGES = {viii+254},
}

@ARTICLE{Franke,
    AUTHOR = {Franke, Jens},
     TITLE = {On the {B}rown representability theorem for triangulated categories},
   JOURNAL = {Topology},
    VOLUME = {40},
      YEAR = {2001},
    NUMBER = {4},
     PAGES = {667--680},
      ISSN = {0040-9383},
       URL = {https://doi.org/10.1016/S0040-9383(99)00034-8},
}

@BOOK{Freyd,
    AUTHOR = {Freyd, Peter},
     TITLE = {Abelian categories. {A}n introduction to the theory of functors},
    SERIES = {Harper's Series in Modern Mathematics},
 PUBLISHER = {Harper \& Row Publishers},
   ADDRESS = {New York},
      YEAR = {1964},
     PAGES = {xi+164},
}

@MISC{Fujiwara-Kato,
    AUTHOR = {Fujiwara, Kazuhiro and Kato, Fumiharu},
    TITLE = {Foundations of Rigid Geometry I},
    EPRINT = {1308.4734},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{F69,
      AUTHOR      = {Fulton, William},
      TITLE       = {Hurwitz schemes and moduli of curves},
      JOURNAL     = {Annals of Mathematics},
      YEAR        = {1969},
      VOLUME      = {90},
      PAGES       = {542-575},
}

@BOOK{F,
      AUTHOR      = {Fulton, William},
      TITLE       = {Intersection Theory},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1998},
      VOLUME      = {2},
      SERIES      = {Ergebnisse der {M}athematik und ihrer {G}renzgebiete, 3. Folge},
      EDITION     = {2},
}

@BOOK{FH,
      AUTHOR      = {Fulton, William and Harris, Joe},
      TITLE       = {Representation Theory, a First Course},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1991},
      VOLUME      = {129},
      SERIES      = {Graduate Texts in Mathematics},
}

@ARTICLE{PicM11,
    AUTHOR = {Fulton, William and Olsson, Martin Christian},
     TITLE = {The {P}icard group of {$\mathcal{M}_{1,1}$}},
   JOURNAL = {Algebra and Number Theory},
    VOLUME = {4},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {87--104},
}

@INCOLLECTION{FP,
      AUTHOR      = {Fulton, William and Pandaharipande, Rahul},
      TITLE       = {Notes on stable maps and quantum cohomology},
      BOOKTITLE   = {Algebraic geometry -- Santa Cruz 1995},
      PUBLISHER   = {American Mathematical Society},
      YEAR        = {1995},
      PAGES       = {45--96},
      EPRINT      = {alg-geom/9608011},
}

@ARTICLE{FM,
    AUTHOR = {Fulton, William and MacPherson, Robert},
     TITLE = {Categorical framework for the study of singular spaces},
   JOURNAL = {Mem. Amer. Math. Soc.},
    VOLUME = {31},
      YEAR = {1981},
    NUMBER = {243},
     PAGES = {vi+165},
       URL = {https://dx.doi.org/10.1090/memo/0243},
}

@ARTICLE{FDL,
    URL = {https://www.gnu.org/licenses/fdl.html},
}

%%%%%%%%%%%%%%%%%%%%%% G %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Gabber-Ramero,
  AUTHOR={Gabber, Ofer and Ramero, Lorenzo},
  TITLE={Foundations for almost ring theory--Release 7.5},
  JOURNAL={arXiv preprint math/0409584},
  YEAR={2004}
}

@INCOLLECTION{Gabber-henselian,
    AUTHOR = {Gabber, Ofer},
     TITLE = {{$K$}-theory of {H}enselian local rings and {H}enselian pairs},
 BOOKTITLE = {Algebraic {$K$}-theory, commutative algebra, and algebraic geometry ({S}anta {M}argherita {L}igure, 1989)},
    SERIES = {Contemp. Math.},
    VOLUME = {126},
     PAGES = {59--70},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1992},
       URL = {https://doi.org/10.1090/conm/126/00509},
}

@ARTICLE{gabber-affine-proper,
    AUTHOR = {Gabber, Ofer},
     TITLE = {Affine analog of the proper base change theorem},
   JOURNAL = {Israel J. Math.},
    VOLUME = {87},
      YEAR = {1994},
    NUMBER = {1-3},
     PAGES = {325--335},
       URL = {https://dx.doi.org/10.1007/BF02773001},
}

@ARTICLE{gabber-nonexcellent,
    AUTHOR = {Gabber, Ofer},
     TITLE = {A property of nonexcellent rings},
   JOURNAL = {Manuscripta Math.},
    VOLUME = {91},
      YEAR = {1996},
    NUMBER = {4},
     PAGES = {543--546},
       URL = {https://dx.doi.org/10.1007/BF02567973},
}

@ARTICLE{gabber-zavyalov,
      TITLE = {Algebraization Techniques and Rigid-Analytic Artin-Grothendieck Vanishing}, 
      AUTHOR = {Ofer Gabber and Bogdan Zavyalov},
      YEAR = {2024},
      EPRINT = {arXiv 2402.08741},
      URL = {https://arxiv.org/abs/2402.08741}, 
}

@ARTICLE{Gabriel,
    AUTHOR = {Gabriel, Pierre},
     TITLE = {Des cat\'{e}gories ab\'{e}liennes},
   JOURNAL = {Bull. Soc. Math. France},
    VOLUME = {90},
      YEAR = {1962},
     PAGES = {323--448},
      ISSN = {0037-9484},
       URL = {http://www.numdam.org/item?id=BSMF_1962__90__323_0},
}

@ARTICLE{GP,
    AUTHOR = {Popescu, Nicolae and Gabriel, Pierre},
     TITLE = {Caract\'{e}risation des cat\'{e}gories ab\'{e}liennes avec g\'{e}n\'{e}rateurs et limites inductives exactes},
   JOURNAL = {C. R. Acad. Sci. Paris},
    VOLUME = {258},
      YEAR = {1964},
     PAGES = {4188--4190},
}

@BOOK{GZ,
    AUTHOR = {Gabriel, Pierre and Zisman, Michel},
     TITLE = {Calculus of fractions and homotopy theory},
    SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 35},
 PUBLISHER = {Springer-Verlag New York, Inc., New York},
      YEAR = {1967},
     PAGES = {x+168},
}

@ARTICLE{Gaitsgory,
    AUTHOR = {Gaitsgory, Dennis},
     TITLE = {On de {J}ong's conjecture},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {157},
      YEAR = {2007},
     PAGES = {155--191},
      ISSN = {0021-2172},
}

@UNPUBLISHED{G-R,
	AUTHOR = {Gaitsgory, Dennis and Rozenblyum, Nick},
	TITLE = {DG Indschemes},
	YEAR = {2013},
	URL = {http://www.math.harvard.edu/~gaitsgde/GL/IndSchemestext.pdf},
}

@ARTICLE{Garel,
    AUTHOR = {Garel, Emmanuelle},
     TITLE = {An extension of the trace map},
   JOURNAL = {J. Pure Appl. Algebra},
    VOLUME = {32},
      YEAR = {1984},
    NUMBER = {3},
     PAGES = {301--313},
      ISSN = {0022-4049},
       URL = {https://doi.org/10.1016/0022-4049(84)90094-X},
}

@ARTICLE{gs_toric1,
	AUTHOR = {Geraschenko, Anton and Satriano, Matthew},
	TITLE = {Toric Stacks {I}: The Theory of Stacky Fans},
	YEAR = {2011},
	EPRINT = {1107.1906},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{gs_toric2,
	AUTHOR = {Geraschenko, Anton and Satriano, Matthew},
	TITLE = {Toric Stacks {II}: Intrinsic Characterization of Toric Stacks},
	YEAR = {2011},
	EPRINT = {1107.1907},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{GibKM,
      AUTHOR      = {Gibney, Angela and Keel, Sean and Morrison, Ian},
      TITLE       = {Towards the ample cone of moduli spaces of stable curves},
      JOURNAL     = {J. Amer. Math. Soc.},
      VOLUME      = {15},
      PAGES       = {273--294},
      YEAR        = {2002},
      EPRINT      = {math/0006208},
}
% the TITLE field should be {Towards the ample cone of $\mgn"$, or rather $\mathcal{M}_{g,n}$

@BOOK{Gieseker,
    AUTHOR = {Gieseker, D.},
     TITLE = {Lectures on moduli of curves},
    SERIES = {Tata Institute of Fundamental Research Lectures on Mathematics and Physics},
    VOLUME = {69},
 PUBLISHER = {Published for the Tata Institute of Fundamental Research, Bombay; Springer-Verlag, Berlin-New York},
      YEAR = {1982},
     PAGES = {iii+99},
}

@ARTICLE{giraud,
    AUTHOR = {Giraud, Jean},
     TITLE = {Cohomologie non ab\'elienne},
   JOURNAL = {C. R. Acad. Sci. Paris},
    VOLUME = {260},
      YEAR = {1965},
     PAGES = {2666--2668},
}

@ARTICLE{Gleason,
    AUTHOR = {Gleason, Andrew Mattei},
     TITLE = {Projective topological spaces},
   JOURNAL = {Illinois J. Math.},
    VOLUME = {2},
      YEAR = {1958},
     PAGES = {482--489},
}

@BOOK{Godement,
    AUTHOR = {Godement, Roger},
     TITLE = {Topologie alg\'ebrique et th\'eorie des faisceaux},
      NOTE = {Troisi{\`e}me {\'e}dition revue et corrig{\'e}e, Publications de l'Institut de Math{\'e}matique de l'Universit{\'e} de Strasbourg, {XIII}, Actualit{\'e}s Scientifiques et Industrielles, No. 1252},
 PUBLISHER = {Hermann},
   ADDRESS = {Paris},
      YEAR = {1973},
     PAGES = {viii+283},
}

@BOOK{SimpHom,
    AUTHOR = {Goerss, Paul Gregory and Jardine, John Frederick},
     TITLE = {Simplicial homotopy theory},
    SERIES = {Progress in Mathematics},
    VOLUME = {174},
 PUBLISHER = {Birkh\"auser Verlag},
   ADDRESS = {Basel},
      YEAR = {1999},
     PAGES = {xvi+510},
}

@ARTICLE{Goldman,
    AUTHOR = {Goldman, Oscar},
     TITLE = {On a special class of {D}edekind domains},
   JOURNAL = {Topology},
    VOLUME = {3},
      YEAR = {1964},
    NUMBER = {suppl},
     PAGES = {113--118},
       URL = {https://doi.org/10.1016/0040-9383(64)90009-6},
}

@ARTICLE{ph,
    AUTHOR = {Goodwillie, T. G. and Lichtenbaum, S.},
     TITLE = {A cohomological bound for the {$h$}-topology},
   JOURNAL = {Amer. J. Math.},
    VOLUME = {123},
      YEAR = {2001},
    NUMBER = {3},
     PAGES = {425--443},
      ISSN = {0002-9327},
       URL = {https://muse.jhu.edu/journals/american_journal_of_mathematics/v123/123.3goodwillie.pdf},
}

@INCOLLECTION{GE,
      AUTHOR      = {G{\"o}ttsche, Lothar and Ellingsrud, Geir},
      TITLE       = {Hilbert schemes of points and {H}eisenberg algebras},
      BOOKTITLE   = {School on Algebraic Geometry ({T}rieste, 1999)},
      PUBLISHER   = {Abdus Salam Int. Cent. Theoret. Phys.},
      YEAR        = {2000},
      PAGES       = {59--100},
}

@BOOK{GM,
      AUTHOR      = {Goresky, Mark and MacPherson, Robert},
      TITLE       = {Stratified {M}orse theory},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1988},
      VOLUME      = {14},
      SERIES      = {Ergebnisse der Mathematik},
}

@ARTICLE{GHS,
      AUTHOR      = {Graber, Tom and Harris, Joe and Starr, Jason},
      TITLE       = {Families of rationally connected varieties},
      JOURNAL     = {J. Amer. Math. Soc.},
      VOLUME      = {16},
      YEAR        = {2003},
      PAGES       = {57--67},
}

@UNPUBLISHED{GHS2,
      AUTHOR      = {Graber, Tom and Harris, Joe and Starr, Jason},
      TITLE       = {A note on {H}urwitz schemes of covers of a positive genus curve},
      NOTE        = {preprint},
      YEAR        = {2002},
      EPRINT      = {math/0205056},
}

@UNPUBLISHED{GHMS,
      AUTHOR = {Graber, Tom and Harris, Joe and Mazur, Barry and Starr, Jason},
      TITLE  = {Rational connectivity and sections of families over curves},
      YEAR   = {2002},
      NOTE   = {submitted Ann. Sci. Ecole Norm. Sup.},
      EPRINT = {math/0210225},
    EPRINTTYPE = {arXiv},
}

@INCOLLECTION{GHMS2,
      AUTHOR = {Graber, Tom and Harris, Joe and Mazur, Barry and Starr, Jason},
      TITLE       = {Arithmetic questions related to rationally connected varieties},
      BOOKTITLE   = {The legacy of {N}iels {H}enrik {A}bel, {T}he {A}bel {B}icentennial, {O}slo 2002},
      PAGES       = {531--542},
      PUBLISHER   = {Springer-Verlag},
      ADDRESS     = {Berlin},
      YEAR        = {2004},
}

@INCOLLECTION{GHMS3,
    AUTHOR = {Graber, Tom and Harris, Joseph and Mazur, Barry and Starr, Jason},
     TITLE = {Jumps in {M}ordell-{W}eil rank and arithmetic surjectivity},
 BOOKTITLE = {Arithmetic of higher-dimensional algebraic varieties (Palo Alto, CA, 2002)},
    SERIES = {Progr. Math.},
    VOLUME = {226},
     PAGES = {141--147},
 PUBLISHER = {Birkh\"auser Boston},
   ADDRESS = {Boston, MA},
      YEAR = {2004},
}
% concerning AUTHOR, use Harris, Joe or Joseph?

@ARTICLE{Gray,
    AUTHOR = {Gray, John W.},
     TITLE = {Sheaves with values in a category},
   JOURNAL = {Topology},
    VOLUME = {3},
      YEAR = {1965},
     PAGES = {1--18},
}

@ARTICLE{Greco,
    AUTHOR = {Greco, Silvio},
     TITLE = {Two theorems on excellent rings},
   JOURNAL = {Nagoya Math. J.},
  FJOURNAL = {Nagoya Mathematical Journal},
    VOLUME = {60},
      YEAR = {1976},
     PAGES = {139--149},
}

@ARTICLE{Greco-Strano,
    AUTHOR = {Greco, Silvio and Strano, Rosario},
     TITLE = {Quasicoherent sheaves over affine {H}ensel schemes},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {268},
      YEAR = {1981},
    NUMBER = {2},
     PAGES = {445--465},
       URL = {https://dx.doi.org/10.2307/1999336},
}

@ARTICLE{Greenlees-May,
    AUTHOR = {Greenlees, John Patrick Campbell and May, Jon Peter},
     TITLE = {Derived functors of {$I$}-adic completion and local homology},
   JOURNAL = {J. Algebra},
    VOLUME = {149},
      YEAR = {1992},
    NUMBER = {2},
     PAGES = {438--453},
}

@ARTICLE{P2,
      AUTHOR      = {Griffiths, Phillip August},
      TITLE       = {Periods of Integrals on Algebraic Manifolds, {II}},
      JOURNAL     = {American Journal of Mathematics},
      YEAR        = {1968},
      VOLUME      = {90},
      PAGES       = {805--865},
}

@ARTICLE{GR,
      AUTHOR      = {Griffiths, Phillip August},
      TITLE       = {On the Periods of Certain Rational Integrals, {I}},
      JOURNAL     = {Annals of Mathematics},
      YEAR        = {1969},
      VOLUME      = {90},
      PAGES       = {496-541},
}

@INCOLLECTION{VHS,
      AUTHOR      = {Griffiths, Phillip August},
      TITLE       = {Variations of {H}odge structure},
      BOOKTITLE   = {Topics in Transcendental Algebraic Geometry},
      PUBLISHER   = {Annals of Mathematics},
      YEAR        = {1984},
      VOLUME      = {106},
      SERIES      = {Annals of Mathematics Studies},
      CHAPTER     = {1},
}

@BOOK{GH,
      AUTHOR      = {Griffiths, Phillip August and Harris, Joseph},
      TITLE       = {Principles of Algebraic Geometry},
      PUBLISHER   = {John Wiley and Sons},
      YEAR        = {1978},
      SERIES      = {Pure and Applied Mathematics},
}

@UNPUBLISHED{Gross-thesis,
  TITLE = {Vector bundles as generators on schemes and stacks},
  AUTHOR = {Gross, Philipp},
  YEAR = {2010},
  NOTE = {D{\"u}sseldorf, Univ., Diss., 2010},
  URL = {https://docserv.uni-duesseldorf.de/servlets/DerivateServlet/Derivate-16724},
}

@ARTICLE{Gross-surface,
    AUTHOR = {Gross, Philipp},
     TITLE = {The resolution property of algebraic surfaces},
   JOURNAL = {Compos. Math.},
    VOLUME = {148},
      YEAR = {2012},
    NUMBER = {1},
     PAGES = {209--226},
      ISSN = {0010-437X},
       URL = {https://doi.org/10.1112/S0010437X11005628},
}

@ARTICLE{Gross-stack,
    AUTHOR = {Gross, Philipp},
     TITLE = {Tensor generators on schemes and stacks},
   JOURNAL = {Algebr. Geom.},
    VOLUME = {4},
      YEAR = {2017},
    NUMBER = {4},
     PAGES = {501--522},
      ISSN = {2313-1691},
       URL = {https://doi.org/10.14231/2017-026},
}

@ARTICLE{Grothendieck-chern,
    AUTHOR = {Grothendieck, Alexander},
     TITLE = {La th\'{e}orie des classes de {C}hern},
   JOURNAL = {Bull. Soc. Math. France},
    VOLUME = {86},
      YEAR = {1958},
     PAGES = {137--154},
      ISSN = {0037-9484},
       URL = {http://www.numdam.org/item?id=BSMF_1958__86__137_0},
}

@INCOLLECTION{Grothendieck-standard,
    AUTHOR = {Grothendieck, A.},
     TITLE = {Standard conjectures on algebraic cycles},
 BOOKTITLE = {Algebraic {G}eometry ({I}nternat. {C}olloq., {T}ata {I}nst. {F}und. {R}es., {B}ombay, 1968)},
     PAGES = {193--199},
 PUBLISHER = {Oxford Univ. Press, London},
      YEAR = {1969},
}

@INCOLLECTION{Gr-I,
    AUTHOR = {Grothendieck, Alexander},
     TITLE = {Technique de descente et th\'eor\`emes d'existence en g\'eometrie alg\'ebrique. {I}. {G}\'en\'eralit\'es. {D}escente par morphismes fid\`element plats},
 BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 5},
     PAGES = {299--327},
 PUBLISHER = {Soc. Math. France},
   ADDRESS = {Paris},
      YEAR = {1995},
}

@INCOLLECTION{Gr-II,
    AUTHOR = {Grothendieck, Alexander},
     TITLE = {Technique de descente et th\'eor\`emes d'existence en g\'eom\'etrie alg\'ebrique. {II}. {L}e th\'eor\`eme d'existence en th\'eorie formelle des modules},
 BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 5},
     PAGES = {369--390},
 PUBLISHER = {Soc. Math. France},
   ADDRESS = {Paris},
      YEAR = {1995},
}

@INCOLLECTION{Gr-III,
    AUTHOR = {Grothendieck, Alexander},
     TITLE = {Techniques de construction et th\'eor\`emes d'existence en g\'eom\'etrie alg\'ebrique. {III}. {P}r\'eschemas quotients},
 BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 6},
     PAGES = {99--118},
 PUBLISHER = {Soc. Math. France},
   ADDRESS = {Paris},
      YEAR = {1995},
}

@INCOLLECTION{Gr-IV,
    AUTHOR = {Grothendieck, Alexander},
     TITLE = {Techniques de construction et th\'eor\`emes d'existence en g\'eom\'etrie alg\'ebrique. {IV}. {L}es sch\'emas de {H}ilbert},
 BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 6},
     PAGES = {249--276},
 PUBLISHER = {Soc. Math. France},
   ADDRESS = {Paris},
      YEAR = {1995},
}

@INCOLLECTION{Gr-V,
    AUTHOR = {Grothendieck, Alexander},
     TITLE = {Technique de descente et th\'eor\`emes d'existence en g\'eom\'etrie alg\'ebrique. {V}. {L}es sch\'emas de {P}icard: th\'eor\`emes d'existence},
 BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 7},
     PAGES = {143--161},
 PUBLISHER = {Soc. Math. France},
   ADDRESS = {Paris},
      YEAR = {1995},
}

@INCOLLECTION{Gr-VI,
    AUTHOR = {Grothendieck, Alexander},
     TITLE = {Technique de descente et th\'eor\`emes d'existence en g\'eom\'etrie alg\'ebrique. {VI}. {L}es sch\'emas de {P}icard: propri\'et\'es g\'en\'erales},
 BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 7},
     PAGES = {221--243},
 PUBLISHER = {Soc. Math. France},
   ADDRESS = {Paris},
      YEAR = {1995},
}

@ARTICLE{Tohoku,
  AUTHOR = {Grothendieck, Alexander},
	TITLE	= {Sur quelques points d'alg\`ebre homologique},
	JOURNAL	= {Tohoku Mathematical Journal},
	VOLUME	= {9},
	YEAR	= {1957},
	PAGES	= {119-221},
}

@BOOK{EGA1,
      AUTHOR      = {Grothendieck, Alexander and Dieudonn{\'e}, Jean},
      TITLE       = {{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique {I}},
      PUBLISHER   = {Institute des {H}autes {\'E}tudes {S}cientifiques.},
      YEAR        = {1960},
      SERIES      = {Publications {M}ath{\'e}matiques},
      VOLUME      = {4},
}
% yet again some EGAs
% decide how to cite these, the current use of AUTHOR isn't correct in my opinion

@BOOK{EGA1-second,
      AUTHOR      = {Grothendieck, Alexander and Dieudonn{\'e}, Jean},
	TITLE	= {{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique {I}},
	PUBLISHER = {Springer-Verlag},
	YEAR	= {1971},
	SERIES	= {Grundlehren der Mathematischen Wissenschaften},
	VOLUME	= {166},
}

@BOOK{EGA2,
      AUTHOR      = {Grothendieck, Alexander and Dieudonn{\'e}, Jean},
      TITLE       = {{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique {II}},
      PUBLISHER   = {Institute des {H}autes {\'E}tudes {S}cientifiques.},
      YEAR        = {1961},
      SERIES      = {Publications {M}ath{\'e}matiques},
      VOLUME      = {8},
}

@BOOK{EGA3,
      AUTHOR      = {Grothendieck, Alexander and Dieudonn{\'e}, Jean},
      TITLE       = {{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique {III}},
      PUBLISHER   = {Institute des {H}autes {\'E}tudes {S}cientifiques.},
      YEAR        = {1961--1963},
      SERIES      = {Publications {M}ath{\'e}matiques},
      VOLUME      = {11, 17},
}
% split this up, see other EGA comments

@BOOK{EGA4,
      AUTHOR      = {Grothendieck, Alexander and Dieudonn{\'e}, Jean},
      TITLE       = {{\'E}l{\'e}ments de g{\'e}om{\'e}trie alg{\'e}brique {IV}},
      PUBLISHER   = {Institute des {H}autes {\'E}tudes {S}cientifiques.},
      YEAR        = {1964-1967},
      SERIES      = {Publications {M}ath{\'e}matiques},
      VOLUME      = {20, 24, 28, 32},
}
% split this up, see other EGA comments

@BOOK{FGA,
      AUTHOR      = {Grothendieck, Alexander},
      TITLE       = {Fondements de la g{\'e}om{\'e}trie alg{\'e}brique},
      PUBLISHER   = {Secr{\'e}tariat math{\'e}matique},
      YEAR        = {1962},
}
% see above, we already have the FGA's there

@BOOK{SGA1,
      AUTHOR      = {Grothendieck, Alexander},
      TITLE       = {Rev\^etements \'etales et groupe fondamental (SGA 1)},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1971},
      SERIES      = {Lecture notes in mathematics},
      VOLUME      = {224},
}
% decide how to cite SGA, multiple authors, at least mention Mich{\'e}le Raynaud or not, ...

@BOOK{SGA2,
    AUTHOR = {Grothendieck, Alexander},
     TITLE = {Cohomologie locale des faisceaux coh\'erents et th\'eor\`emes de {L}efschetz locaux et globaux {$(SGA$} {$2)$}},
      NOTE = {Augment\'e d'un expos\'e par Mich\`ele Raynaud, S\'eminaire de G\'eom\'etrie Alg\'ebrique du Bois-Marie, 1962},
 PUBLISHER = {North-{H}olland {P}ublishing {C}o.},
      YEAR = {1968},
     PAGES = {vii+287},
    SERIES = {Advanced Studies in Pure Mathematics},
    VOLUME = {2},
}

@BOOK{SGA5,
      AUTHOR = {Grothendieck, Alexandre},
      TITLE = {S{\'e}minaire de g{\'e}om{\'e}trie alg{\'e}brique du Bois-Marie 1965-66, Cohomologie l-adique et fonctions L, SGA5},
      SERIES = {Springer Lecture Notes},
      VOLUME = {589},
      PUBLISHER = {Springer-Verlag},
      YEAR = {1977},
      PAGES = {xii+484},
}

@BOOK{SGA7-I,
    AUTHOR = {Grothendieck, Alexander and Raynaud, Michel and Rim, Dock Sang},
     TITLE = {Groupes de monodromie en g\'eom\'etrie alg\'ebrique. {I}},
    SERIES = {Lecture Notes in Mathematics, Vol. 288},
      NOTE = {S{\'e}minaire de G{\'e}om{\'e}trie Alg{\'e}brique du Bois-Marie 1967--1969 (SGA 7 I)},
 PUBLISHER = {Springer-Verlag},
      YEAR = {1972},
     PAGES = {viii+523},
}
% there are two volums, add the second as well?

@BOOK{Grothendieck-Murre,
    AUTHOR = {Grothendieck, Alexander and Murre, Jacob P.},
     TITLE = {The tame fundamental group of a formal neighbourhood of a divisor with normal crossings on a scheme},
    SERIES = {Lecture Notes in Mathematics, Vol. 208},
 PUBLISHER = {Springer-Verlag, Berlin-New York},
      YEAR = {1971},
     PAGES = {viii+133},
}

@BOOK{GtoS,
      AUTHOR      = {Grothendieck, Alexandre and Serre, Jean-Pierre},
      EDITOR      = {Colmez, Pierre and Serre, Jean-Pierre},
      TITLE       = {Correspondance Grothendieck-Serre},
      PUBLISHER   = {Soci\'et\'e Math. de France},
      YEAR        = {2001},
}

@INCOLLECTION{G,
    AUTHOR = {Gruson, Laurent},
     TITLE = {Dimension homologique des modules plats sur un anneau commutatif noeth\'erien},
 BOOKTITLE = {Symposia {M}athematica, {V}ol. {XI} ({C}onvegno di {A}lgebra {C}ommutativa, {INDAM}, {R}ome, 1971)},
     PAGES = {243--254},
 PUBLISHER = {Academic Press},
   ADDRESS = {London},
      YEAR = {1973},
}

@ARTICLE{GruRay,
      AUTHOR      = {Gruson, Laurent and Raynaud, Michel},
      TITLE       = {Crit\`{e}res de platitude et de projectivit\'{e}},
      JOURNAL     = {Invent. math.},
      VOLUME      = {13},
      YEAR        = {1971},
      PAGES       = {1--89},
}

%%%%%%%%%%%%%%%%%%%%%% H %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Hall-coherent,
    AUTHOR = {Hall, Jack},
     TITLE = {Openness of versality via coherent functors},
   JOURNAL = {J. Reine Angew. Math.},
    VOLUME = {722},
      YEAR = {2017},
     PAGES = {137--182},
       URL = {https://dx.doi.org/10.1515/crelle-2014-0057},
}

@ARTICLE{Hall-Rydh,
	AUTHOR = {Hall, Jack and Rydh, David},
	TITLE = {General Hilbert stacks and Quot schemes},
	YEAR = {2013},
	EPRINT = {1306.4118},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{rydh_axioms,
	AUTHOR = {Hall, Jack and Rydh, David},
	TITLE = {Artin's criteria for algebraicity revisited},
	YEAR = {2012},
	EPRINT = {1306.4599},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{Hall-Rydh-Hilbert,
	AUTHOR = {Hall, Jack and Rydh, David},
	TITLE = {The Hilbert stack},
	YEAR = {2010},
	EPRINT = {1011.5484},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{Hall-Rydh-coherent,
    AUTHOR = {Hall, Jack and Rydh, David},
     TITLE = {Coherent {T}annaka duality and algebraicity of {H}om-stacks},
   JOURNAL = {Algebra Number Theory},
    VOLUME = {13},
      YEAR = {2019},
    NUMBER = {7},
     PAGES = {1633--1675},
      ISSN = {1937-0652},
       URL = {https://dx.doi.org/10.2140/ant.2019.13.1633},
}

@MISC{HL-P,
	AUTHOR = {Halpern-Leistner, Daniel and Preygel, Anatoly},
	TITLE = {Mapping stacks and categorical notions of properness},
	YEAR = {2014},
	EPRINT = {1402.3204},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{HMP,
      AUTHOR      = {Harris, Joe and Mazur, Barry and Pandharipande, Rahul},
      TITLE       = {Hypersurfaces of low degree},
      JOURNAL     = {Duke Math. J.},
      YEAR        = {1998},
      VOLUME      = {95},
      PAGES       = {125--160},
}

@BOOK{HarrMorr,
      AUTHOR      = {Harris, Joe and Morrison, Ian},
      TITLE       = {Moduli of curves},
      PUBLISHER   = {Springer-Verlag},
      SERIES      = {Graduate Texts in Mathematics},
      VOLUME      = {187},
      YEAR        = {1998},
}

@ARTICLE{HM,
      AUTHOR      = {Harris, Joe and Mumford, David},
      TITLE       = {On the {K}odaira dimension of the moduli space of curves},
      JOURNAL     = {Invent. Math.},
      VOLUME      = {67},
      YEAR        = {1982},
      PAGES       = {23--86},
}

@UNPUBLISHED{HRS1,
      AUTHOR      = {Harris, Joseph and Roth, Mike and Starr, Jason},
      TITLE       = {Curves of Small Degree on Cubic Threefolds},
      NOTE        = {to appear in Rocky Mountain Journal of Math.},
      YEAR        = {2002},
      EPRINT      = {math/0202067},
}

@ARTICLE{HRS2,
    AUTHOR = {Harris, Joe and Roth, Mike and Starr, Jason},
     TITLE = {Rational curves on hypersurfaces of low degree},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {571},
      YEAR = {2004},
     PAGES = {73--106},
}

@UNPUBLISHED{HRS3,
    AUTHOR = {Harris, Joe and Roth, Mike and Starr, Jason},
      YEAR        = {2002},
      TITLE       = {{A}bel-{J}acobi maps associated to smooth cubic threefolds},
      NOTE        = {submitted Journal of Alg. Geom.},
      EPRINT      = {math/0202080},
}

@UNPUBLISHED{HS,
      AUTHOR      = {Harris, Joseph and Starr, Jason},
      TITLE       = {Rational curves on blow-ups of projective space},
      NOTE        = {in preparation},
}

@ARTICLE{HS2,
    AUTHOR = {Harris, Joe and Starr, Jason},
     TITLE = {Rational curves on hypersurfaces of low degree. {II}},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {141},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {35--92},
      ISSN = {0010-437X},
    EPRINT = {math/0207257},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{HarTsch,
      AUTHOR      = {Harris, Joe and Tschinkel, Yuri},
      TITLE       = {Rational points on quartics},
      JOURNAL     = {Duke Math. J.},
      VOLUME      = {104},
      YEAR        = {2000},
      PAGES       = {477--500},
}

@ARTICLE{Hartshorne-connectedness,
    AUTHOR = {Hartshorne, Robin},
     TITLE = {Complete intersections and connectedness},
   JOURNAL = {Amer. J. Math.},
    VOLUME = {84},
      YEAR = {1962},
     PAGES = {497--508},
}

@ARTICLE{Hartshorne,
    AUTHOR = {Hartshorne, Robin},
     TITLE = {Coherent functors},
   JOURNAL = {Adv. Math.},
    VOLUME = {140},
      YEAR = {1998},
    NUMBER = {1},
     PAGES = {44--94},
}

@BOOK{H,
    AUTHOR = {Hartshorne, Robin},
      TITLE       = {Algebraic Geometry},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1977},
      VOLUME      = {52},
      SERIES      = {Graduate Texts in Mathematics},
}

@BOOK{RD,
    AUTHOR = {Hartshorne, Robin},
      TITLE       = {Residues and Duality, Lecture notes of a seminar on the work of A. Grothendieck},
      YEAR        = {1966},
      PUBLISHER   = {Springer-Verlag},
      SERIES      = {Lecture Notes in Math.},
      VOLUME      = {20},
}

@ARTICLE{CD,
    AUTHOR = {Hartshorne, Robin},
     TITLE = {Cohomological dimension of algebraic varieties},
   JOURNAL = {Ann. of Math. (2)},
    VOLUME = {88},
      YEAR = {1968},
     PAGES = {403--450},
       URL = {https://doi.org/10.2307/1970720},
}

@BOOK{Hartshorne-local-cohomology,
    AUTHOR = {Hartshorne, Robin},
     TITLE = {Local cohomology},
    SERIES = {A seminar given by A. Grothendieck, Harvard University, Fall},
    VOLUME = {1961},
 PUBLISHER = {Springer-Verlag, Berlin-New York},
      YEAR = {1967},
     PAGES = {vi+106},
}

@ARTICLE{Has,
      AUTHOR      = {Hassett, Brendan},
      TITLE       = {Special Cubic Fourfolds},
      JOURNAL     = {Compositio Mathematica},
      YEAR        = {2000},
      VOLUME      = {120},
      PAGES       = {1--23},
}

@ARTICLE{Has2,
      AUTHOR      = {Hassett, Brendan},
      TITLE      = {Some rational cubic fourfolds},
      JOURNAL    = {Journal of Algebraic Geometry},
      VOLUME     = {8},
      YEAR       = {1999},
      PAGES      = {103--114},
}

@ARTICLE{Has3,
    AUTHOR = {Hassett, Brendan},
     TITLE = {Moduli spaces of weighted pointed stable curves},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {173},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {316--352},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
}

@ARTICLE{HT03,
    AUTHOR = {Hassett, Brendan and Tschinkel, Yuri},
     TITLE = {Integral points and effective cones of moduli spaces of stable maps},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {120},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {577--599},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
}

@ARTICLE{Heinzer-Levy,
    AUTHOR = {Heinzer, William J. and Levy, Lawrence S.},
     TITLE = {Domains of dimension 1 with infinitely many singular maximal ideals},
   JOURNAL = {Rocky Mountain J. Math.},
    VOLUME = {37},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {203--214},
       URL = {https://dx.doi.org/10.1216/rmjm/1181069326},
}

@INCOLLECTION{Heinzer-Rotthaus-Wiegand,
    AUTHOR = {Heinzer, William and Rotthaus, Christel and Wiegand, Sylvia},
     TITLE = {Catenary local rings with geometrically normal formal fibers},
 BOOKTITLE = {Algebra, arithmetic and geometry with applications ({W}est {L}afayette, {IN}, 2000)},
     PAGES = {497--510},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2004},
}

@ARTICLE{Heitmann-Ogoma,
    AUTHOR = {Heitmann, Raymond C.},
     TITLE = {A noncatenary, normal, local domain},
   JOURNAL = {Rocky Mountain J. Math.},
    VOLUME = {12},
      YEAR = {1982},
    NUMBER = {1},
     PAGES = {145--148},
       URL = {https://dx.doi.org/10.1216/RMJ-1982-12-1-145},
}

@ARTICLE{Heitmann-isolated,
    AUTHOR = {Heitmann, Raymond C.},
     TITLE = {Completions of local rings with an isolated singularity},
   JOURNAL = {J. Algebra},
    VOLUME = {163},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {538--567},
       URL = {https://dx.doi.org/10.1006/jabr.1994.1031},
}

@ARTICLE{Heitmann-completion-UFD,
    AUTHOR = {Heitmann, Raymond C.},
     TITLE = {Characterization of completions of unique factorization domains},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {337},
      YEAR = {1993},
    NUMBER = {1},
     PAGES = {379--387},
       URL = {https://dx.doi.org/10.2307/2154327},
}

@ARTICLE{Hinohara,
    AUTHOR = {Hinohara, Yukitoshi},
     TITLE = {Projective modules over weakly noetherian rings},
   JOURNAL = {J. Math. Soc. Japan},
    VOLUME = {15},
      YEAR = {1963},
     PAGES = {75--88},
      ISSN = {0025-5645},
       URL = {https://doi.org/10.2969/jmsj/01510075},
}

@ARTICLE{Hir,
      AUTHOR      = {Hironaka, Heisuke},
      TITLE       = {Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero. {I}, {II}},
      JOURNAL     = {Annals of Mathematics},
      YEAR        = {1964},
      VOLUME      = {79},
      PAGES       = {109--326},
}

@BOOK{Hirzebruch,
    AUTHOR = {Hirzebruch, Friedrich},
     TITLE = {Topological methods in algebraic geometry},
    SERIES = {Classics in Mathematics},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {1995},
     PAGES = {xii+234},
}

@ARTICLE{Hochster,
    AUTHOR = {Hochster, Melvin},
     TITLE = {Prime ideal structure in commutative rings},
   JOURNAL = {Trans. Amer. Math. Soc.},
  SHORTJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {142},
      YEAR = {1969},
     PAGES = {43--60},
}

@BOOK{Hochster-thesis,
    AUTHOR = {Hochster, Melvin},
     TITLE = {P{RIME} {IDEAL} {STRUCTURE} {IN} {COMMUTATIVE} {RINGS}},
      NOTE = {Thesis (Ph.D.)--Princeton University},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1967},
     PAGES = {116},
       URL = {https://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:6802486},
}

@ARTICLE{Hochster-loci,
    AUTHOR = {Hochster, M.},
     TITLE = {Non-openness of loci in {N}oetherian rings},
   JOURNAL = {Duke Math. J.},
    VOLUME = {40},
      YEAR = {1973},
     PAGES = {215--219},
}

@ARTICLE{HHBigCM,
    AUTHOR = {Hochster, Melvin and Huneke, Craig},
     TITLE = {Infinite integral extensions and big {C}ohen-{M}acaulay algebras},
   JOURNAL = {Ann. of Math. (2)},
    VOLUME = {135},
      YEAR = {1992},
    NUMBER = {1},
     PAGES = {53--89},
}

@ARTICLE{Hollander,
	AUTHOR = {Hollander, Sharon},
	TITLE = {A homotopy theory for stacks},
	JOURNAL = {Israel Journal of Mathematics},
	YEAR = {2008},
	MONTH = {1},
	VOLUME = {163},
	PAGES = {93--124},
	EPRINT	= {https://arxiv.org/pdf/math/0110247},
}

@ARTICLE{Hoobler-finite,
    AUTHOR = {Hoobler, Raymond Taylor},
     TITLE = {Cohomology in the finite topology and {B}rauer groups},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {42},
      YEAR = {1972},
     PAGES = {667--679},
      ISSN = {0030-8730},
}

@INCOLLECTION{Hoobler,
    AUTHOR = {Hoobler, Raymond Taylor},
     TITLE = {When is {${\rm Br}(X)={\rm Br}'(X)$}?},
 BOOKTITLE = {Brauer groups in ring theory and algebraic geometry ({W}ilrijk, 1981)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {917},
     PAGES = {231--244},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      YEAR = {1982},
}

@ARTICLE{Huber-continuous-valuations,
    AUTHOR = {Huber, Roland},
     TITLE = {Continuous valuations},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {212},
      YEAR = {1993},
    NUMBER = {3},
     PAGES = {455--477},
       URL = {https://dx.doi.org/10.1007/BF02571668},
}

@ARTICLE{Huber-henselian,
    AUTHOR = {Huber, Roland},
     TITLE = {\'{E}tale cohomology of {H}enselian rings and cohomology of abstract {R}iemann surfaces of fields},
   JOURNAL = {Math. Ann.},
    VOLUME = {295},
      YEAR = {1993},
    NUMBER = {4},
     PAGES = {703--708},
}

@ARTICLE{Huneke-Sharp,
    AUTHOR = {Huneke, Craig L. and Sharp, Rodney Y.},
     TITLE = {Bass numbers of local cohomology modules},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {339},
      YEAR = {1993},
    NUMBER = {2},
     PAGES = {765--779},
      ISSN = {0002-9947},
       URL = {https://doi.org/10.2307/2154297},
}

@ARTICLE{Huneke-uniform,
    AUTHOR = {Huneke, Craig},
     TITLE = {Uniform bounds in {N}oetherian rings},
   JOURNAL = {Invent. Math.},
    VOLUME = {107},
      YEAR = {1992},
    NUMBER = {1},
     PAGES = {203--223},
      ISSN = {0020-9910},
       URL = {https://doi.org/10.1007/BF01231887},
}

@ARTICLE{Hurw,
      AUTHOR      = {Hurwitz, Adolf},
      TITLE       = {Ueber {R}iemann'sche {F}l{\"a}chen mit gegebenen {V}erzweigungspunkten},
      JOURNAL     = {Mathematische Annalen},
      YEAR        = {1891},
      VOLUME      = {39},
      PAGES       = {1--61},
}

@BOOK{Huybrechts,
    AUTHOR = {Huybrechts, D.},
     TITLE = {Fourier-{M}ukai transforms in algebraic geometry},
    SERIES = {Oxford Mathematical Monographs},
 PUBLISHER = {The Clarendon Press, Oxford University Press, Oxford},
      YEAR = {2006},
     PAGES = {viii+307},
      ISBN = {978-0-19-929686-6; 0-19-929686-3},
       URL = {https://doi.org/10.1093/acprof:oso/9780199296866.001.0001},
}

@BOOK{HL,
    AUTHOR = {Huybrechts, Daniel and Lehn, Manfred},
     TITLE = {The geometry of moduli spaces of sheaves},
    SERIES = {Aspects of Mathematics, E31},
 PUBLISHER = {Friedr. Vieweg \& Sohn, Braunschweig},
      YEAR = {1997},
     PAGES = {xiv+269},
       URL = {https://dx.doi.org/10.1007/978-3-663-11624-0},
}

%%%%%%%%%%%%%%%%%%%%%% I %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Ihara,
    AUTHOR = {Ihara, Yasutaka},
     TITLE = {How many primes decompose completely in an infinite unramified {G}alois extension of a global field?},
   JOURNAL = {J. Math. Soc. Japan},
  FJOURNAL = {Journal of the Mathematical Society of Japan},
    VOLUME = {35},
      YEAR = {1983},
    NUMBER = {4},
     PAGES = {693--709},
}

@BOOK{Iitaka,
      AUTHOR      = {Iitaka, Shigeru},
      TITLE       = {Algebraic geometry. {A}n introduction to birational geometry of algebraic varieties},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1982},
      SERIES      = {Graduate Texts in Mathematics},
      VOLUME      = {76},
}

@ARTICLE{AM,
      AUTHOR      = {Iliev, Atanas and Markushevich, Dimitri},
      TITLE       = {The {A}bel-{J}acobi Map for a Cubic Threefold and Periods of {F}ano Threefolds of Degree 14},
      JOURNAL     = {Documenta Mathematica},
      YEAR        = {2000},
      VOLUME      = {5},
      PAGES       = {23--47},
      EPRINT      = {math/9910058},
}

@BOOK{cotangent,
    AUTHOR = {Illusie, Luc},
     TITLE = {Complexe cotangent et d\'eformations {I} and {II}},
    SERIES = {Lecture Notes in Mathematics, Vol. 239 and 283},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1971/1972},
     PAGES = {355 + 304},
}
% I think the first part is 355, the second 304, is this the best way to indicate this?
% I've come across this book in the library, they are really separate copies and should be treated as such?

@BOOK{Traveaux,
	AUTHOR = {Illusie, Luc and Laszlo, Yves and Orgogozo, Frabice},
	TITLE = {Travaux de Gabber sur l\'uniformisation locale et la cohomologie \'etale des sch\'emas quasi-excellents},
	SERIES = {Ast\'erisque 363-364},
	PUBLISHER = {Publications de la SMF},
	YEAR = {2014},
	PAGES = {xxiv+619},
}

@INCOLLECTION{ItoNak,
      AUTHOR     = {Ito, Yukari and Nakamura, Iku},
      TITLE      = {Hilbert schemes and simple singularities},
      BOOKTITLE  = {New trends in algebraic geometry ({W}arwick, 1996)},
      PUBLISHER  = {Cambridge Univ. Press},
      YEAR       = {1999},
      PAGES      = {151--233},
      VOLUME     = {264},
      SERIES     = {London Math. Soc. Lecture Notes Ser.},
}

@BOOK{Iversen,
    AUTHOR = {Iversen, Birger},
     TITLE = {Cohomology of sheaves},
    SERIES = {Universitext},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1986},
     PAGES = {xii+464},
      ISBN = {3-540-16389-1},
}

@ARTICLE{iwanari_toric,
    AUTHOR = {Iwanari, Isamu},
     TITLE = {The category of toric stacks},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {145},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {718--746},
}

@ARTICLE{iwanari_chow,
  AUTHOR = {Iwanari, Isamu},
  TITLE = {Integral Chow rings of toric stacks },
  JOURNAL = {math.AG/0705.3524},
  YEAR = {2007}
}

@ARTICLE{Iyengar,
    AUTHOR = {Iyengar, Srikanth},
     TITLE = {Free summands of conormal modules and central elements in homotopy {L}ie algebras of local rings},
   JOURNAL = {Proc. Amer. Math. Soc.},
    VOLUME = {129},
      YEAR = {2001},
    NUMBER = {6},
     PAGES = {1563--1572},
      ISSN = {0002-9939},
       URL = {https://doi.org/10.1090/S0002-9939-01-05565-4},
}




%%%%%%%%%%%%%%%%%%%%%% J %%%%%%%%%%%%%%%%%%%%%%

@BOOK{JacobsonI,
    AUTHOR = {Jacobson, Nathan},
     TITLE = {Lectures in abstract algebra. {V}ol. {I}},
      NOTE = {Basic concepts, Reprint of the 1951 edition, Graduate Texts in Mathematics, No. 30},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1975},
     PAGES = {xii+217},
}

@BOOK{JacobsonII,
    AUTHOR = {Jacobson, Nathan},
     TITLE = {Lectures in abstract algebra},
      NOTE = {Volume {II}: Linear algebra, Reprint of the 1953 edition [Van Nostrand, Toronto, Ont.], Graduate Texts in Mathematics, No. 31},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1975},
     PAGES = {xii+280},
}

@BOOK{JacobsonIII,
    AUTHOR = {Jacobson, Nathan},
     TITLE = {Lectures in abstract algebra. {V}ol {III}: {T}heory of fields and {G}alois theory},
 PUBLISHER = {D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London-New York},
      YEAR = {1964},
     PAGES = {xi+323},
}

@ARTICLE{Jaffe,
    AUTHOR = {Jaffe, David Benjamin},
     TITLE = {Coherent functors, with application to torsion in the Picard group},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {349},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {481--527},
       URL = {https://dx.doi.org/10.1090/S0002-9947-97-01616-4},
}

@ARTICLE{janelidze-tholen,
	AUTHOR = {Janelidze, G. and Tholen, W.},
	TITLE = {Facets of descent {III}: Monadic descent for rings and algebras},
	JOURNAL = {Appl. Categorical Structures},
	NUMBER = {12},
	YEAR = {2004},
	PAGES = {461--477},
}

@ARTICLE{Jannsen,
   AUTHOR = {Jannsen, Uwe},
    TITLE = {Continuous {\'E}tale Cohomology},
  JOURNAL = {Math. Ann.},
   VOLUME = {280},
     YEAR = {1988},
    PAGES = {207-245},
}

@ARTICLE{Jannsen-semisimple,
    AUTHOR = {Jannsen, Uwe},
     TITLE = {Motives, numerical equivalence, and semi-simplicity},
   JOURNAL = {Invent. Math.},
    VOLUME = {107},
      YEAR = {1992},
    NUMBER = {3},
     PAGES = {447--452},
      ISSN = {0020-9910},
       URL = {https://doi.org/10.1007/BF01231898},
}

@BOOK{Motives,
     TITLE = {Motives},
    SERIES = {Proceedings of Symposia in Pure Mathematics},
    VOLUME = {55},
 BOOKTITLE = {Proceedings of the {AMS}-{IMS}-{SIAM} {J}oint {S}ummer {R}esearch {C}onference held at the {U}niversity of {W}ashington, {S}eattle, {W}ashington, {J}uly 20--{A}ugust 2, 1991},
    EDITOR = {Jannsen, Uwe and Kleiman, Steven and Serre, Jean-Pierre},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {1994},
     PAGES = {xiv+676},
      ISBN = {0-8218-1637-3},
}

@BOOK{Jech,
	AUTHOR = {Jech, Thomas},
	TITLE = {Set Theory},
	PUBLISHER = {Springer},
	YEAR        = {2002},
	SERIES      = {Springer Monographs in mathematics},
}
% this is not the first edition, 2002 is (on the top of my head) the third, concerns EDITION

@ARTICLE{alterations-curves,
    AUTHOR = {de Jong, A. Johan},
     TITLE = {Families of curves and alterations},
   JOURNAL = {Ann. Inst. Fourier (Grenoble)},
    VOLUME = {47},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {599--621},
       URL = {http://www.numdam.org/item?id=AIF_1997__47_2_599_0},
}

@ARTICLE{alterations,
    AUTHOR = {de Jong, A. J.},
     TITLE = {Smoothness, semi-stability and alterations},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    NUMBER = {83},
      YEAR = {1996},
     PAGES = {51--93},
       URL = {http://www.numdam.org/item?id=PMIHES_1996__83__51_0},
}

@ARTICLE{dJ-crystalline,
    AUTHOR = {de Jong, Aise Johan},
     TITLE = {Crystalline {D}ieudonn\'e module theory via formal and rigid geometry},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    NUMBER = {82},
      YEAR = {1995},
     PAGES = {5--96},
}

@ARTICLE{dJ-conjecture,
    AUTHOR = {de Jong, Aise Johan},
     TITLE = {A conjecture on arithmetic fundamental groups},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {121},
      YEAR = {2001},
     PAGES = {61--84},
}

@ARTICLE{dJ,
    AUTHOR = {de Jong, Aise Johan},
      TITLE       = {The period-index problem for the {B}rauer group of an algebraic surface},
      JOURNAL     = {Duke Math. J.},
      VOLUME      = {123},
      YEAR        = {2004},
      PAGES       = {71--94},
}

@ARTICLE{dJHS,
    AUTHOR = {de Jong, A. J. and He, Xuhua and Starr, Jason Michael},
     TITLE = {Families of rationally simply connected varieties over surfaces and torsors for semisimple groups},
   JOURNAL = {Publ. Math. Inst. Hautes \'Etudes Sci.},
    NUMBER = {114},
      YEAR = {2011},
     PAGES = {1--85},
      ISSN = {0073-8301},
       URL = {https://dx.doi.org/10.1007/s10240-011-0035-1},
}

@ARTICLE{dJS,
      AUTHOR      = {de Jong, Aise Johan and Starr, Jason},
      TITLE       = {Every rationally connected variety over the function field of a curve has a rational point},
      JOURNAL     = {Amer. J. Math.},
      VOLUME      = {125},
      YEAR        = {2003},
      PAGES       = {567--580},
}

@ARTICLE{dJS2,
      AUTHOR      = {de Jong, Aise Johan and Starr, Jason},
      TITLE      = {Cubic fourfolds and spaces of rational curves},
      JOURNAL    = {Illinois J. Math.},
      VOLUME     = {48},
      YEAR       = {2004},
      PAGES      = {415--450},
}

@UNPUBLISHED{dJS3,
      AUTHOR      = {de Jong, Aise Johan and Starr, Jason},
      YEAR        = {2005},
      TITLE       = {Divisor classes and the virtual canonical bundle for genus 0 maps},
      NOTE        = {preprint},
      URL         = {https://www.math.stonybrook.edu/~jstarr/papers/cc.pdf},
}

@ARTICLE{Jongmin,
    AUTHOR = {Lee, Jongmin},
     TITLE = {Relative canonical sheaves of a family of curves},
   JOURNAL = {J. Algebra},
    VOLUME = {286},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {341--360},
      ISSN = {0021-8693},
       URL = {https://dx.doi.org/10.1016/j.jalgebra.2004.09.012},
}

@BOOK{Jou,
      AUTHOR     = {Jouanolou, Jean-Pierre},
      TITLE      = {Th\'{e}or\`{e}mes de {B}ertini et Applications},
      PUBLISHER  = {Birkh{\"{a}}user},
      YEAR       = {1983},
      SERIES     = {Progess in Mathematics},
      VOLUME     = {42},
}

@ARTICLE{joyal-tierney,
    AUTHOR = {Joyal, Andr{\'e} and Tierney, Myles},
     TITLE = {An extension of the {G}alois theory of {G}rothendieck},
   JOURNAL = {Mem. Amer. Math. Soc.},
    VOLUME = {51},
      YEAR = {1984},
    NUMBER = {309},
     PAGES = {vii+71},
}

@ARTICLE{Joyet,
    AUTHOR = {Joyet, Pierre},
     TITLE = {Pouleb\`eques de modules quasi-coh\'erents},
   JOURNAL = {Comm. Algebra},
    VOLUME = {24},
      YEAR = {1996},
    NUMBER = {3},
     PAGES = {1035--1049},
       URL = {https://dx.doi.org/10.1080/00927879608825619},
}

%%%%%%%%%%%%%%%%%%%%%% K %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Kabele,
    AUTHOR = {Kabele, Thomas},
     TITLE = {Regularity conditions in nonnoetherian rings},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {155},
      YEAR = {1971},
     PAGES = {363--374},
}

@UNPUBLISHED{Kanev,
      AUTHOR     = {Kanev, Vassil},
      YEAR       = {2004},
      TITLE      = {Irreducibility of {H}urwitz spaces},
      NOTE       = {Preprint N. 241, Feb. 2004, Dipartimento di Math., Univ. di Palermo.},
}

@ARTICLE{Kap,
    AUTHOR = {Kapranov, Mikhail M.},
     TITLE = {Veronese curves and {G}rothendieck-{K}nudsen moduli space {$\overline{M}_{0,n}$}},
   JOURNAL = {J. Algebraic Geom.},
  FJOURNAL = {Journal of Algebraic Geometry},
    VOLUME = {2},
      YEAR = {1993},
    NUMBER = {2},
     PAGES = {239--262},
}

@ARTICLE{Kaplansky,
    AUTHOR = {Kaplansky, Irving},
     TITLE = {Projective modules},
   JOURNAL = {Ann. of Math (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {68},
      YEAR = {1958},
     PAGES = {372--377},
}

@BOOK{KS,
    AUTHOR = {Kashiwara, Masaki and Schapira, Pierre},
     TITLE = {Categories and sheaves},
    SERIES = {Grundlehren der Mathematischen Wissenschaften},
    VOLUME = {332},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {2006},
     PAGES = {x+497},
}

@ARTICLE{Kato-Milnor-K,
    AUTHOR = {Kato, Kazuya},
     TITLE = {Milnor {$K$}-theory and the {C}how group of zero cycles},
 BOOKTITLE = {Applications of algebraic {$K$}-theory to algebraic geometry and number theory, {P}art {I}, {II} ({B}oulder, {C}olo., 1983)},
    SERIES = {Contemp. Math.},
    VOLUME = {55},
     PAGES = {241--253},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1986},
       URL = {https://dx.doi.org/10.1090/conm/055.1/862638},
}

@BOOK{KatzMazur,
    AUTHOR = {Katz, Nicholas Michael and Mazur, Barry},
     TITLE = {Arithmetic moduli of elliptic curves},
    SERIES = {Annals of Mathematics Studies},
    VOLUME = {108},
 PUBLISHER = {Princeton University Press},
   ADDRESS = {Princeton, NJ},
      YEAR = {1985},
     PAGES = {xiv+514},
}

@ARTICLE{Katz-Messing,
    AUTHOR = {Katz, Nicholas M. and Messing, William},
     TITLE = {Some consequences of the {R}iemann hypothesis for varieties over finite fields},
   JOURNAL = {Invent. Math.},
    VOLUME = {23},
      YEAR = {1974},
     PAGES = {73--77},
      ISSN = {0020-9910},
       URL = {https://doi.org/10.1007/BF01405203},
}

@ARTICLE{Kausz,
      AUTHOR     = {Ivan Kausz, Ivan},
      TITLE      = {A modular compactification of the general linear group},
      JOURNAL    = {Doc. math.},
      YEAR       = {2000},
      VOLUME     = {5},
      PAGES      = {553--594},
}

@ARTICLE{Kaw,
      AUTHOR     = {Kawamata, Yujiro},
      TITLE      = {Kodaira dimension of certain algebraic fiber spaces},
      JOURNAL    = {J. Fac. Sci. Univ. Tokyo Sect. IA Math.},
      YEAR       = {1983},
      VOLUME     = {1},
      PAGES      = {1--24},
}

@INCOLLECTION{Kaw97,
    AUTHOR = {Kawamata, Yujiro},
     TITLE = {Subadjunction of log canonical divisors for a subvariety of codimension {$2$}},
 BOOKTITLE = {Birational algebraic geometry (Baltimore, MD, 1996)},
    SERIES = {Contemp. Math.},
    VOLUME = {207},
     PAGES = {79--88},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {1997},
}

@ARTICLE{Kawasaki,
    AUTHOR = {Kawasaki, Takesi},
     TITLE = {On arithmetic {M}acaulayfication of {N}oetherian rings},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {354},
      YEAR = {2002},
    NUMBER = {1},
     PAGES = {123--149 (electronic)},
       URL = {https://dx.doi.org/10.1090/S0002-9947-01-02817-3},
}

@BOOK{Kedlaya-Liu-I,
	AUTHOR = {Kedlaya, Kiran and Liu, Ruochuan},
	TITLE = {Relative {$p$}-adic Hodge theory, I: Foundations},
	SERIES = {Ast{\'e}risque},
	VOLUME = {371},
	YEAR = {2015},
	PAGES = {239},
}

@UNPUBLISHED{Keel-McK,
      AUTHOR     = {Keel, Sean and McKernan, James},
      YEAR       = {1996},
      TITLE      = {Contractible extremal rays on {$\overline{M}_{0,n}$}},
      NOTE       = {preprint},
      EPRINT     = {alg-geom/9607009},
}

@ARTICLE{Keel,
    AUTHOR = {Keel, Sean},
     TITLE = {Intersection theory of moduli space of stable {$n$}-pointed curves of genus zero},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {330},
      YEAR = {1992},
    NUMBER = {2},
     PAGES = {545--574},
}

@ARTICLE{K-M,
	AUTHOR = {Keel, Sean and Mori, Shigefumi},
	TITLE = {Quotients by Groupoids},
	JOURNAL = {Ann. of Math. (2)},
	YEAR = {1997},
	VOLUME = {145},
	PAGES = {193--213},
}

@INCOLLECTION{Keller-survey,
    AUTHOR = {Keller, Bernhard},
     TITLE = {On differential graded categories},
 BOOKTITLE = {International {C}ongress of {M}athematicians. {V}ol. {II}},
     PAGES = {151--190},
 PUBLISHER = {Eur. Math. Soc., Z\"urich},
      YEAR = {2006},
}

@ARTICLE{Keller-Deriving,
    AUTHOR = {Keller, Bernhard},
     TITLE = {Deriving {DG} categories},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
    VOLUME = {27},
      YEAR = {1994},
    NUMBER = {1},
     PAGES = {63--102},
}

@ARTICLE{Keller,
    AUTHOR = {Keller, Bernhard},
     TITLE = {Chain complexes and stable categories},
   JOURNAL = {Manuscripta Math.},
  FJOURNAL = {Manuscripta Mathematica},
    VOLUME = {67},
      YEAR = {1990},
    NUMBER = {4},
     PAGES = {379--417},
}

@ARTICLE{Kelly,
    AUTHOR = {Kelly, G. M.},
     TITLE = {Chain maps inducing zero homology maps},
   JOURNAL = {Proc. Cambridge Philos. Soc.},
    VOLUME = {61},
      YEAR = {1965},
     PAGES = {847--854},
      ISSN = {0008-1981},
       URL = {https://doi.org/10.1017/s0305004100039207},
}

@INCOLLECTION{kelly-street,
    AUTHOR = {Kelly, Gregory Maxwell and Street, Ross},
     TITLE = {Review of the elements of {$2$}-categories},
 BOOKTITLE = {Category {S}eminar ({P}roc. {S}em., {S}ydney, 1972/1973)},
     PAGES = {75--103},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      YEAR = {1974},
}

@ARTICLE{Kempf,
    AUTHOR = {Kempf, George Rushing},
     TITLE = {Pulling back bundles},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {152},
      YEAR = {1992},
    NUMBER = {2},
     PAGES = {319--322},
      ISSN = {0030-8730},
}

@ARTICLE{Kerz-Schmidt,
    AUTHOR = {Kerz, Moritz and Schmidt, Alexander},
     TITLE = {On different notions of tameness in arithmetic geometry},
   JOURNAL = {Math. Ann.},
    VOLUME = {346},
      YEAR = {2010},
    NUMBER = {3},
     PAGES = {641--668},
       URL = {https://dx.doi.org/10.1007/s00208-009-0409-6},
}

@ARTICLE{Kiehl,
    AUTHOR = {Kiehl, Reinhardt},
     TITLE = {Ein ``{D}escente''-{L}emma und {G}rothendiecks {P}rojektionssatz f\"ur nichtnoethersche {S}chemata},
   JOURNAL = {Math. Ann.},
    VOLUME = {198},
      YEAR = {1972},
     PAGES = {287--316},
}

@INCOLLECTION{KP,
      AUTHOR      = {Kim, Bumsig and Pandharipande, Rahul},
      TITLE       = {The connectedness of the moduli space of maps to homogeneous spaces},
      BOOKTITLE   = {Symplectic geometry and mirror symmetry},
      PUBLISHER   = {World Scientific},
      YEAR        = {2001},
      CHAPTER     = {5},
      EPRINT      = {math/0003168},
}

@INCOLLECTION{Kleiman-cycles,
    AUTHOR = {Kleiman, S. L.},
     TITLE = {Algebraic cycles and the {W}eil conjectures},
 BOOKTITLE = {Dix expos\'{e}s sur la cohomologie des sch\'{e}mas},
    SERIES = {Adv. Stud. Pure Math.},
    VOLUME = {3},
     PAGES = {359--386},
 PUBLISHER = {North-Holland, Amsterdam},
      YEAR = {1968},
}

@ARTICLE{misconceptions,
    AUTHOR = {Kleiman, Steven Lawrence},
     TITLE = {Misconceptions about {$K_X$}},
   JOURNAL = {Enseign. Math. (2)},
  FJOURNAL = {L'Enseignement Math\'ematique. Revue Internationale. {II}e S\'erie},
    VOLUME = {25},
      YEAR = {1979},
    NUMBER = {3-4},
     PAGES = {203--206},
}
% the PAGES field contained (1980)

@INCOLLECTION{Kleiman-Picard,
    AUTHOR = {Kleiman, Steven L.},
     TITLE = {The {P}icard scheme},
 BOOKTITLE = {Fundamental algebraic geometry},
    SERIES = {Math. Surveys Monogr.},
    VOLUME = {123},
     PAGES = {235--321},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2005},
}

@ARTICLE{Kleiman-Bertini,
    AUTHOR = {Kleiman, Steven L.},
     TITLE = {Bertini and his two fundamental theorems},
      NOTE = {Studies in the history of modern mathematics, III},
   JOURNAL = {Rend. Circ. Mat. Palermo (2) Suppl.},
    NUMBER = {55},
      YEAR = {1998},
     PAGES = {9--37},
      ISSN = {1592-9531},
}

@ARTICLE{Kleiman-motives,
    AUTHOR = {Kleiman, Steven L.},
     TITLE = {Motives},
 BOOKTITLE = {Algebraic geometry, {O}slo 1970 ({P}roc. {F}ifth {N}ordic {S}ummer-{S}chool in {M}ath., {O}slo, 1970)},
     PAGES = {53--82},
 PUBLISHER = {Wolters-Noordhoff, Groningen},
      YEAR = {1972},
}

@INCOLLECTION{Kleiman-standard,
    AUTHOR = {Kleiman, Steven L.},
     TITLE = {The standard conjectures},
 BOOKTITLE = {Motives ({S}eattle, {WA}, 1991)},
    SERIES = {Proc. Sympos. Pure Math.},
    VOLUME = {55},
     PAGES = {3--20},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1994},
       URL = {https://doi.org/10.1090/pspum/055.1/1265519},
}

@ARTICLE{Kleiman-Lichtenbaum,
    AUTHOR = {Kleiman, Steven L.},
     TITLE = {On the vanishing of {$H^{n}(X, \mathcal{F})$} for an {$n$}-dimensional variety},
   JOURNAL = {Proc. Amer. Math. Soc.},
    VOLUME = {18},
      YEAR = {1967},
     PAGES = {940--944},
      ISSN = {0002-9939},
       URL = {https://www.jstor.org/stable/2035142},
}

@INCOLLECTION{Klu,
      AUTHOR      = {Kluitmann, Paul},
      TITLE       = {Hurwitz actions and finite quotients of braid groups},
      BOOKTITLE   = {Braids ({S}anta {C}ruz, {CA}, 1986)},
      PUBLISHER   = {American Mathematical Society},
      YEAR        = {1988},
      PAGES       = {299--325},
      CITY        = {Providence, {RI}},
}

@ARTICLE{Knudsen,
    AUTHOR = {Knudsen, Finn Faye},
     TITLE = {Determinant functors on exact categories and their extensions to categories of bounded complexes},
   JOURNAL = {Michigan Math. J.},
  FJOURNAL = {The Michigan Mathematical Journal},
    VOLUME = {50},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {407--444},
}

@ARTICLE{determinant,
    AUTHOR = {Knudsen, Finn Faye and Mumford, David},
     TITLE = {The projectivity of the moduli space of stable curves, {I}. {P}reliminaries on ``det'' and ``{D}iv''},
   JOURNAL = {Math. Scand.},
  FJOURNAL = {Mathematica Scandinavica},
    VOLUME = {39},
      YEAR = {1976},
    NUMBER = {1},
     PAGES = {19--55},
}

@BOOK{Knuth,
    AUTHOR = {Knuth, Donald Ervin},
     TITLE = {Tau {E}psilon {C}hi, a system for technical text},
      NOTE = {Revised version of Stanford Computer Science report number STAN-CS-78-675},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, R.I.},
      YEAR = {1979},
     PAGES = {200},
      ISBN = {0-8218-0209-7},
}

@BOOK{Kn,
      AUTHOR      = {Knutson, Donald},
      TITLE       = {Algebraic spaces},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1971},
      VOLUME      = {203},
      SERIES      = {Lecture Notes in Mathematics},
}

@BOOK{K,
      AUTHOR      = {Koll{\'a}r, J{\'a}nos},
      TITLE       = {Rational Curves on Algebraic Varieties},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1996},
      VOLUME      = {32},
      SERIES      = {Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge},
}

@BOOK{K+92,
      AUTHOR      = {Koll{\'a}r, J{\'a}nos and others},
      TITLE       = {Flips and Abundance for Algebraic Threefolds},
      VOLUME      = {211},
      SERIES      = {Ast{\'e}risque},
      YEAR        = {1993},
      PUBLISHER   = {Soc. Math. de France},
}
% make this look more like conference proceedings?

@BOOK{KRC,
    AUTHOR = {Koll\'{a}r, J\'{a}nos},
     TITLE = {Rational curves on algebraic varieties},
    SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas. 3rd Series. A Series of Modern Surveys in Mathematics]},
    VOLUME = {32},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {1996},
     PAGES = {viii+320},
      ISBN = {3-540-60168-6},
       URL = {https://doi.org/10.1007/978-3-662-03276-3},
}

@ARTICLE{KollarQuotients,
    AUTHOR = {Koll{\'a}r, J{\'a}nos},
     TITLE = {Quotient spaces modulo algebraic groups},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {145},
      YEAR = {1997},
    NUMBER = {1},
     PAGES = {33--79},
}

@MISC{KollarFinite,
    AUTHOR = {Koll{\'a}r, J{\'a}nos},
    TITLE = {Quotients by finite equivalence relations},
    YEAR = {2008},
    EPRINT = {0812.3608},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{KollarSimple,
    AUTHOR = {Koll{\'a}r, J{\'a}nos},
      TITLE       = {Which are the simplest algebraic varieties{?}},
      JOURNAL     = {Bull. Amer. Math. Soc.},
      YEAR        = {2001},
      VOLUME      = {38},
      PAGES       = {409-433},
}

@INCOLLECTION{KollarPairs,
    AUTHOR = {Koll{\'a}r, J{\'a}nos},
      TITLE       = {Singularities of pairs},
      BOOKTITLE   = {Algebraic Geometry, {S}anta {C}ruz 1995},
      PUBLISHER   = {Amer. Math. Soc.},
      YEAR        = {1997},
      VOLUME      = {62, Part {I}},
      SERIES      = {Proc. Sympos. Pure Math.},
      PAGES       = {221--287},
}

@ARTICLE{KMM,
      AUTHOR      = {Koll{\'a}r, J{\'a}nos and Miyaoka, Yoichi and Mori, Shigefumi},
      TITLE       = {Rationally connected varieties},
      JOURNAL     = {Journal of Algebraic Geometry},
      YEAR        = {1992},
      VOLUME      = {1},
      PAGES       = {429--448},
}

@ARTICLE{KMM92c,
      AUTHOR      = {Koll{\'a}r, J{\'a}nos and Miyaoka, Yoichi and Mori, Shigefumi},
      TITLE       = {Rational connectedness and boundedness of {F}ano manifolds},
      JOURNAL     = {Journal of Diff. Geom.},
      YEAR        = {1992},
      VOLUME      = {36},
      PAGES       = {765--769},
}

@BOOK{KM,
      AUTHOR      = {Koll{\'a}r, J{\'a}nos and Mori, Shigefumi},
      TITLE       = {Birational Geometry of Algebraic Varieties},
      PUBLISHER   = {Cambridge University Press},
      YEAR        = {1998},
      VOLUME      = {134},
      SERIES      = {Cambrige Tracts in Mathematics},
}

@ARTICLE{Kollar-local-global-hulls,
   AUTHOR = {Koll\'ar, J\'anos},
    TITLE = {Coherence of local and global hulls},
  JOURNAL = {ArXiv e-prints},
   EPRINT = {1509.02404},
     YEAR = {2015},
}

@ARTICLE{Kollar-variants,
    AUTHOR = {Koll\'ar, J\'anos},
     TITLE = {Variants of normality for {N}oetherian schemes},
   JOURNAL = {Pure Appl. Math. Q.},
    VOLUME = {12},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {1--31},
      ISSN = {1558-8599},
       URL = {https://dx.doi.org/10.4310/PAMQ.2016.v12.n1.a1},
}

@ARTICLE{Kollar-pic,
    AUTHOR = {Koll\'{a}r, J\'{a}nos},
     TITLE = {Grothendieck-{L}efschetz type theorems for the local {P}icard group},
   JOURNAL = {J. Ramanujan Math. Soc.},
    VOLUME = {28A},
      YEAR = {2013},
     PAGES = {267--285},
      ISSN = {0970-1249},
}

@ARTICLE{Kollar-map-pic,
    AUTHOR = {Koll\'{a}r, J\'{a}nos},
     TITLE = {Maps between local {P}icard groups},
   JOURNAL = {Algebr. Geom.},
    VOLUME = {3},
      YEAR = {2016},
    NUMBER = {4},
     PAGES = {461--495},
      ISSN = {2214-2584},
       URL = {https://doi.org/10.14231/AG-2016-022},
}

@ARTICLE{k-coherent,
	AUTHOR = {Koll{\'a}r, J{\'a}nos},
	TITLE = {Coherence of local and global hulls},
	JOURNAL = {Methods Appl. Anal.},
	VOLUME = {24},
	YEAR = {2017},
	NUMBER = {1},
	PAGES = {63--70},
	ISSN = {1073-2772},
	URL = {https://doi.org/10.4310/MAA.2017.v24.n1.a5},
}

@BOOK{KZ,
    AUTHOR = {K{\"o}nig, Steffen and Zimmermann, Alexander},
     TITLE = {Derived equivalences for group rings},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {1685},
      NOTE = {With contributions by Bernhard Keller, Markus Linckelmann, Jeremy Rickard and Rapha{\"e}l Rouquier},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1998},
     PAGES = {x+246},
}

@INCOLLECTION{Kv,
      AUTHOR      = {Kontsevich, Maxim},
      TITLE       = {Enumeration of rational curves via torus actions},
      BOOKTITLE   = {The moduli space of curves},
      PUBLISHER   = {Birkh{\"a}user},
      YEAR        = {1995},
      PAGES       = {335--368},
      EPRINT      = {hep-th/9405035},
}

@ARTICLE{Krause,
    AUTHOR = {Krause, Henning},
     TITLE = {A {B}rown representability theorem via coherent functors},
   JOURNAL = {Topology},
    VOLUME = {41},
      YEAR = {2002},
    NUMBER = {4},
     PAGES = {853--861},
      ISSN = {0040-9383},
       URL = {https://doi.org/10.1016/S0040-9383(01)00010-6},
}

@ARTICLE{kresch_cycle,
    AUTHOR = {Kresch, Andrew},
     TITLE = {Cycle groups for {A}rtin stacks},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {138},
      YEAR = {1999},
    NUMBER = {3},
     PAGES = {495--536},
}

@INCOLLECTION{kresch_geometry,
    AUTHOR = {Kresch, Andrew},
     TITLE = {On the geometry of {D}eligne-{M}umford stacks},
 BOOKTITLE = {Algebraic geometry---{S}eattle 2005. {P}art 1},
    SERIES = {Proc. Sympos. Pure Math.},
    VOLUME = {80},
     PAGES = {259--271},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {2009},
}

@ARTICLE{kresch-vistoli,
    AUTHOR = {Kresch, Andrew and Vistoli, Angelo},
     TITLE = {On coverings of {D}eligne-{M}umford stacks and surjectivity of the {B}rauer map},
   JOURNAL = {Bull. London Math. Soc.},
  FJOURNAL = {The Bulletin of the London Mathematical Society},
    VOLUME = {36},
      YEAR = {2004},
    NUMBER = {2},
     PAGES = {188--192},
}

@ARTICLE{Krull,
	AUTHOR	= {Krull, Wolfgang},
	TITLE	= {Allgemeine Bewertungstheorie},
	JOURNAL	= {J. reine angew. Math},
	YEAR	= {1932},
	VOLUME	= {167},
	PAGES	= {160--196},
}

@ARTICLE{Kuhlmann,
    AUTHOR = {Kuhlmann, Franz-Viktor},
     TITLE = {A correction to: ``{E}limination of wild ramification'' [{I}nvent. {M}ath. 19 (1973), 235--249; {MR}0321929 (48 \#294)] by {H}. {P}. {E}pp},
   JOURNAL = {Invent. Math.},
    VOLUME = {153},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {679--681},
}

@ARTICLE{Kuhn,
    AUTHOR = {Kuhn, Nicholas J.},
     TITLE = {Generic representations of the finite general linear groups and the {S}teenrod algebra. {I}},
   JOURNAL = {Amer. J. Math.},
    VOLUME = {116},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {327--360},
      ISSN = {0002-9327},
       URL = {https://doi.org/10.2307/2374932},
}

@BOOK{Kunen,
	AUTHOR		= {Kunen, Kenneth},
	TITLE		= {Set Theory},
	PUBLISHER	= {Elsevier Science},
	YEAR		= {1983},
}

@BOOK{Kunz,
    AUTHOR = {Kunz, Ernst},
     TITLE = {K\"ahler differentials},
    SERIES = {Advanced Lectures in Mathematics},
 PUBLISHER = {Friedr. Vieweg \& Sohn, Braunschweig},
      YEAR = {1986},
     PAGES = {viii+402},
       URL = {https://dx.doi.org/10.1007/978-3-663-14074-0},
}

@ARTICLE{Kunz-flat,
    AUTHOR = {Kunz, Ernst},
     TITLE = {Characterizations of regular local rings for characteristic {$p$}},
   JOURNAL = {Amer. J. Math.},
    VOLUME = {91},
      YEAR = {1969},
     PAGES = {772--784},
      ISSN = {0002-9327},
       URL = {https://doi.org/10.2307/2373351},
}


@ARTICLE{Kun76,
	AUTHOR = {Ernst Kunz},
	TITLE = {On Noetherian rings of characteristic p}, 
	JOURNAL = {Amer. Jour. of Math.},
	VOLUME = {98},
	YEAR = {1976},
	PAGES = {999--1013},
}

@BOOK{KPR,
    AUTHOR = {Kurke, Herbert and Pfister, Gerhard and Roczen, Marko},
     TITLE = {Henselsche {R}inge und algebraische {G}eometrie},
      NOTE = {Mathematische Monographien, Band II},
 PUBLISHER = {VEB Deutscher Verlag der Wissenschaften, Berlin},
      YEAR = {1975},
     PAGES = {223},
}

%%%%%%%%%%%%%%%%%%%%%% L %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Lafforgue,
      AUTHOR      = {Lafforgue, Laurent},
      TITLE       = {Chtoucas de {D}rinfeld et correspondance de {L}anglands},
      JOURNAL     = {Invent. Math.},
      VOLUME      = {147},
      YEAR        = {2002},
      PAGES       = {1--241},
}

@ARTICLE{Lafon,
    AUTHOR = {Lafon, Guillaume},
     TITLE = {Une surface d'{E}nriques sans point sur {$\mathbb{C}((t))$}},
   JOURNAL = {C. R. Math. Acad. Sci. Paris},
  FJOURNAL = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
    VOLUME = {338},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {51--54},
}

@BOOK{Lam,
    AUTHOR = {Lam, Tsit Yuen},
     TITLE = {Lectures on modules and rings},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {189},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1999},
     PAGES = {xxiv+557},
}

@ARTICLE{Lam-Reyes,
	AUTHOR = {Lam, Tsit Yuen and Reyes, Manuel Lionel},
	TITLE = {A prime ideal principle in commutative algebra},
	YEAR = {2008},
	JOURNAL = {Journal of Algebra},
	VOLUME = {319},
	NUMBER = {7},
	PAGES = {3006--3027},
}

@BOOK{LM-B,
      AUTHOR      = {Laumon, G{\'e}rard and Moret-Bailly, Laurent},
      TITLE       = {Champs alg{\'e}briques},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {2000},
      VOLUME      = {39},
      SERIES      = {Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge.},
}

@BOOK{Lang,
    AUTHOR = {Lang, Serge},
     TITLE = {Algebra},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {211},
   EDITION = {third},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {2002},
     PAGES = {xvi+914},
}

@BOOK{LangAbelianVarieties,
    AUTHOR = {Lang, Serge},
	TITLE = {Abelian Varieties},
	PUBLISHER = {Springer-Verlag},
	YEAR = {1983},
}

@ARTICLE{Lang52,
    AUTHOR = {Lang, Serge},
      TITLE       = {On quasi-algebraic closure},
      JOURNAL     = {Ann. Math.},
      YEAR        = {1952},
      VOLUME      = {55},
      PAGES       = {373-390},
}

@ARTICLE{LW,
    AUTHOR = {Lang, Serge and Weil, Andr{\'e}},
     TITLE = {Number of points of varieties in finite fields},
   JOURNAL = {Amer. J. Math.},
    VOLUME = {76},
      YEAR = {1954},
     PAGES = {819--827},
}

@BOOK{LangReal,
    AUTHOR = {Lang, Serge},
     TITLE = {Real and functional analysis},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {142},
   EDITION = {Third},
 PUBLISHER = {Springer-Verlag, New York},
      YEAR = {1993},
     PAGES = {xiv+580},
      ISBN = {0-387-94001-4},
       URL = {https://doi.org/10.1007/978-1-4612-0897-6},
}

@ARTICLE{Lazard,
    AUTHOR = {Lazard, Daniel},
     TITLE = {Disconnexit\'es des spectres d'anneaux et des pr\'esch\'emas},
   JOURNAL = {Bull. Soc. Math. France},
    VOLUME = {95},
      YEAR = {1967},
     PAGES = {95--108},
}

@ARTICLE{Autour,
    AUTHOR = {Lazard, Daniel},
     TITLE = {Autour de la platitude},
   JOURNAL = {Bull. Soc. Math. France},
    VOLUME = {97},
      YEAR = {1969},
     PAGES = {81--128},
}

@INCOLLECTION{Lazard-deux,
	AUTHOR = {Lazard, Daniel},
	TITLE = {Deux m{\'e}chants {\'e}pimorphisms},
     BOOKTITLE = {S\'eminaire d'{A}lg\`ebre {C}ommutative dirig\'e par {P}ierre {S}amuel: 1967/1968. {L}es \'epimorphismes d'anneaux},
 PUBLISHER = {Secr\'etariat math\'ematique, Paris},
      YEAR = {1968},
     PAGES = {1--5},
}

@ARTICLE{Lech-inequalities,
    AUTHOR = {Lech, Christer},
     TITLE = {Inequalities related to certain couples of local rings},
   JOURNAL = {Acta Math.},
    VOLUME = {112},
      YEAR = {1964},
     PAGES = {69--89},
      ISSN = {0001-5962},
       URL = {https://doi.org/10.1007/BF02391765},
}

@INCOLLECTION{Lech,
    AUTHOR = {Lech, Christer},
     TITLE = {A method for constructing bad {N}oetherian local rings},
 BOOKTITLE = {Algebra, algebraic topology and their interactions ({S}tockholm, 1983)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1183},
     PAGES = {241--247},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1986},
       URL = {https://dx.doi.org/10.1007/BFb0075463},
}

@INCOLLECTION{Lech-YAPO,
    AUTHOR = {Lech, Crister},
     TITLE = {Yet another proof of a result by {O}goma},
 BOOKTITLE = {Algebra, algebraic topology and their interactions ({S}tockholm, 1983)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1183},
     PAGES = {248--249},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1986},
       URL = {https://dx.doi.org/10.1007/BFb0075464},
}

@ARTICLE{LLPY,
    AUTHOR = {Lee, Dan and Leer, Leanne and Pilch, Shara and Yasufuku, Yu},
     TITLE = {Characterization of completions of reduced local rings},
   JOURNAL = {Proc. Amer. Math. Soc.},
    VOLUME = {129},
      YEAR = {2001},
    NUMBER = {11},
     PAGES = {3193--3200},
       URL = {https://dx.doi.org/10.1090/S0002-9939-01-05962-7},
}

@MISC{Lenstra,
	AUTHOR = {Lenstra, Hendrik Willem},
	TITLE = {Galois theory for schemes},
	PAGES = {1--109},
	URL = {https://websites.math.leidenuniv.nl/algebra/GSchemes.pdf},
}

@ARTICLE{Lichtenbaum-Schlessinger,
    AUTHOR = {Lichtenbaum, S. and Schlessinger, M.},
     TITLE = {The cotangent complex of a morphism},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {128},
      YEAR = {1967},
     PAGES = {41--70},
}

@ARTICLE{lieblich_remarks,
    AUTHOR = {Lieblich, Max},
     TITLE = {Remarks on the stack of coherent algebras},
   JOURNAL = {Int. Math. Res. Not.},
  FJOURNAL = {International Mathematics Research Notices},
      YEAR = {2006},
}

@ARTICLE{lieblich-osserman,
  AUTHOR = {Lieblich, Max and Osserman, Brian},
  TITLE = {Functorial reconstruction theorem for stacks},
  JOURNAL = {math.AG/0807.4562},
  YEAR = {2008}
}

@ARTICLE{lieblich_twisted,
    AUTHOR = {Lieblich, Max},
     TITLE = {Moduli of twisted sheaves},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {138},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {23--118},
}

@ARTICLE{lieblich-complexes,
    AUTHOR = {Lieblich, Max},
     TITLE = {Moduli of complexes on a proper morphism},
   JOURNAL = {J. Algebraic Geom.},
    VOLUME = {15},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {175--206},
}

@ARTICLE{Lindel,
    AUTHOR = {Lindel, Hartmut},
     TITLE = {On the {B}ass-{Q}uillen conjecture concerning projective modules over polynomial rings},
   JOURNAL = {Invent. Math.},
    VOLUME = {65},
      YEAR = {1981/82},
    NUMBER = {2},
     PAGES = {319--323},
       URL = {https://doi.org/10.1007/BF01389017},
}

@ARTICLE{Lipman-rational,
    AUTHOR = {Lipman, Joseph},
     TITLE = {Rational singularities, with applications to algebraic surfaces and unique factorization},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    NUMBER = {36},
      YEAR = {1969},
     PAGES = {195--279},
}

@ARTICLE{Lipman,
    AUTHOR = {Lipman, Joseph},
     TITLE = {Desingularization of two-dimensional schemes},
   JOURNAL = {Ann. Math. (2)},
    VOLUME = {107},
      YEAR = {1978},
    NUMBER = {1},
     PAGES = {151--207},
}

@ARTICLE{LN,
    AUTHOR = {Lipman, Joseph and Neeman, Amnon},
     TITLE = {Quasi-perfect scheme-maps and boundedness of the twisted inverse image functor},
   JOURNAL = {Illinois J. Math.},
    VOLUME = {51},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {209--236},
}

@INCOLLECTION{Lipman-notes,
    AUTHOR = {Lipman, Joseph},
     TITLE = {Notes on derived functors and {G}rothendieck duality},
 BOOKTITLE = {Foundations of {G}rothendieck duality for diagrams of schemes},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1960},
     PAGES = {1--259},
 PUBLISHER = {Springer, Berlin},
      YEAR = {2009},
       URL = {https://dx.doi.org/10.1007/978-3-540-85420-3},
}

@BOOK{Liu,
    AUTHOR = {Liu, Qing},
     TITLE = {Algebraic geometry and arithmetic curves},
    SERIES = {Oxford Graduate Texts in Mathematics},
    VOLUME = {6},
      NOTE = {Translated from the French by Reinie Ern{\'e}, Oxford Science Publications},
 PUBLISHER = {Oxford University Press},
   ADDRESS = {Oxford},
      YEAR = {2002},
     PAGES = {xvi+576},
}

@ARTICLE{Loepp,
    AUTHOR = {Loepp, S.},
     TITLE = {Characterization of completions of excellent domains of characteristic zero},
   JOURNAL = {J. Algebra},
    VOLUME = {265},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {221--228},
       URL = {https://dx.doi.org/10.1016/S0021-8693(03)00239-4},
}

@ARTICLE{lundkvist-skjelnes,
    AUTHOR = {Lundkvist, Christian and Skjelnes, Roy},
     TITLE = {Non-effective deformations of {G}rothendieck's {H}ilbert functor},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {258},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {513--519},
}

@MISC{lurie-thesis,
	AUTHOR = {Lurie, Jacob},
	TITLE = {Derived Algebraic Geometry},
	YEAR = {2004},
	URL = {https://hdl.handle.net/1721.1/30144},
}

@BOOK{lurie_topos,
    AUTHOR = {Lurie, Jacob},
     TITLE = {Higher topos theory},
    SERIES = {Annals of Mathematics Studies},
    VOLUME = {170},
 PUBLISHER = {Princeton University Press},
   ADDRESS = {Princeton, NJ},
      YEAR = {2009},
     PAGES = {xviii+925},
      ISBN = {978-0-691-14049-0; 0-691-14049-9},
}

@ARTICLE{dag1,
    AUTHOR = {Lurie, Jacob},
  TITLE = {Derived Algebraic Geometry {I}: Stable Infinity Categories},
  YEAR = {2009},
  URL = {http://www.math.harvard.edu/~lurie/papers/DAG-I.pdf},
}

@ARTICLE{dag2,
  AUTHOR = {Lurie, Jacob},
  TITLE = {Derived Algebraic Geometry {II}: Noncommutative Algebra},
  YEAR = {2009},
  URL = {http://www.math.harvard.edu/~lurie/papers/DAG-II.pdf},
}

@ARTICLE{dag3,
  AUTHOR = {Lurie, Jacob},
  TITLE = {Derived Algebraic Geometry {III}: Commutative Algebra},
  YEAR = {2009},
  URL = {http://www.math.harvard.edu/~lurie/papers/DAG-III.pdf},
}

@ARTICLE{dag4,
  AUTHOR = {Lurie, Jacob},
  TITLE = {Derived Algebraic Geometry {IV}: Deformation Theory},
  YEAR = {2009},
  URL = {http://www.math.harvard.edu/~lurie/papers/DAG-IV.pdf},
}

@ARTICLE{dag5,
  AUTHOR = {Lurie, Jacob},
  TITLE = {Derived Algebraic Geometry {V}: Structured Spaces},
  YEAR = {2009},
  URL = {http://www.math.harvard.edu/~lurie/papers/DAG-V.pdf},
}

@ARTICLE{dag12,
  AUTHOR = {Lurie, Jacob},
  TITLE = {Derived Algebraic Geometry {XII}: Proper Morphisms, Completions, and the Grothendieck Existence Theorem},
  YEAR = {2011},
  URL = {http://www.math.harvard.edu/~lurie/papers/DAG-XII.pdf},
}
% continue with the DAG series? it goes all the way to XIV for now

@ARTICLE{Lutkebohmert,
    AUTHOR = {L{\"u}tkebohmert, W.},
     TITLE = {On compactification of schemes},
   JOURNAL = {Manuscripta Math.},
    VOLUME = {80},
      YEAR = {1993},
    NUMBER = {1},
     PAGES = {95--111},
       URL = {https://dx.doi.org/10.1007/BF03026540},
}

@ARTICLE{Lyubeznik,
    AUTHOR = {Lyubeznik, Gennady},
     TITLE = {Finiteness properties of local cohomology modules (an application of {$D$}-modules to commutative algebra)},
   JOURNAL = {Invent. Math.},
    VOLUME = {113},
      YEAR = {1993},
    NUMBER = {1},
     PAGES = {41--55},
      ISSN = {0020-9910},
       URL = {https://doi.org/10.1007/BF01244301},
}

@ARTICLE{Lyubeznik2,
    AUTHOR = {Lyubeznik, Gennady},
     TITLE = {{$F$}-modules: applications to local cohomology and {$D$}-modules in characteristic {$p>0$}},
   JOURNAL = {J. Reine Angew. Math.},
    VOLUME = {491},
      YEAR = {1997},
     PAGES = {65--130},
      ISSN = {0075-4102},
       URL = {https://doi.org/10.1515/crll.1997.491.65},
}

@ARTICLE{Lyubeznik-Lichtenbaum,
    AUTHOR = {Lyubeznik, Gennady},
     TITLE = {A generalization of {L}ichtenbaum's theorem on the cohomological dimension of algebraic varieties},
   JOURNAL = {Math. Z.},
    VOLUME = {208},
      YEAR = {1991},
    NUMBER = {3},
     PAGES = {463--466},
      ISSN = {0025-5874},
       URL = {https://dx.doi.org/10.1007/BF02571539},
}


%%%%%%%%%%%%%%%%%%%%%% M %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{MS,
    AUTHOR = {Ma, Linquan and Schwede, Karl},
     TITLE = {A {K}unz-type characterization of regular rings via alterations},
   JOURNAL = {J. Pure Appl. Algebra},
    VOLUME = {224},
      YEAR = {2020},
    NUMBER = {3},
     PAGES = {1124--1131},
      ISSN = {0022-4049},
       URL = {https://doi.org/10.1016/j.jpaa.2019.07.008},
}

@BOOK{Maclane,
    AUTHOR = {Mac Lane, Saunders},
     TITLE = {Homology},
    SERIES = {Die Grundlehren der mathematischen Wissenschaften, Bd. 114},
 PUBLISHER = {Academic Press Inc.},
   ADDRESS = {Publishers, New York},
      YEAR = {1963},
     PAGES = {x+422},
}

@ARTICLE{Manin,
    AUTHOR = {Manin, Ju. I.},
     TITLE = {Correspondences, motifs and monoidal transformations},
   JOURNAL = {Mat. Sb. (N.S.)},
    VOLUME = {77 (119)},
      YEAR = {1968},
     PAGES = {475--507},
}

@ARTICLE{Mattuck,
    AUTHOR = {Mattuck, Arthur},
     TITLE = {Complete ideals and monoidal transforms},
   JOURNAL = {Proc. Amer. Math. Soc.},
    VOLUME = {26},
      YEAR = {1970},
     PAGES = {555--560},
}

@ARTICLE{Mazet,
    AUTHOR = {Mazet, Pierre},
     TITLE = {G\'en\'erateurs, relations et \'epimorphismes d'anneaux},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
    VOLUME = {266},
      YEAR = {1968},
}
% maybe the paper Caract\'erisation des \'epimorphismes par relations et g\'en\'erateurs is meant?

@INCOLLECTION{Mazur-deforming,
    AUTHOR = {Mazur, Barry},
     TITLE = {Deforming {G}alois representations},
 BOOKTITLE = {Galois groups over {${\bf Q}$} ({B}erkeley, {CA}, 1987)},
    SERIES = {Math. Sci. Res. Inst. Publ.},
    VOLUME = {16},
     PAGES = {385--437},
 PUBLISHER = {Springer, New York},
      YEAR = {1989},
       URL = {https://dx.doi.org/10.1007/978-1-4613-9649-9_7},
}

@BOOK{McCleary,
    AUTHOR = {McCleary, John},
     TITLE = {A user's guide to spectral sequences},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {58},
   EDITION = {Second},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {2001},
     PAGES = {xvi+561},
      ISBN = {0-521-56759-9},
}

@ARTICLE{McCoy,
    AUTHOR = {McCoy, Neal H.},
     TITLE = {Annihilators in polynomial rings},
   JOURNAL = {Amer. Math. Monthly},
    VOLUME = {64},
      YEAR = {1957},
     PAGES = {28--29},
      ISSN = {0002-9890},
       URL = {https://dx.doi.org/10.2307/2309082},
}

@ARTICLE{MP98,
      AUTHOR      = {Mac{P}herson, Robert and Procesi, Claudio},
      TITLE       = {Making conical compactifications wonderful},
      JOURNAL     = {Selecta Math. (N. S.)},
      VOLUME      = {4},
      YEAR        = {1998},
      PAGES       = {125--139},
}

@INCOLLECTION{McQuillan,
    AUTHOR = {McQuillan, Michael},
     TITLE = {Formal formal schemes},
 BOOKTITLE = {Topology and geometry: commemorating {SISTAG}},
    SERIES = {Contemp. Math.},
    VOLUME = {314},
     PAGES = {187--198},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2002},
       URL = {https://dx.doi.org/10.1090/conm/314/05431},
}

@ARTICLE{MT,
      AUTHOR      = {Markushevich, Dimitri and Tikhimirov, Alexander},
      TITLE       = {The {A}bel-{J}acobi Map of a Moduli Component of Vector Bundles on the Cubic Threefold},
      JOURNAL     = {Journal of Algebraic Geometry},
      YEAR        = {2001},
      VOLUME      = {10},
      PAGES       = {37--62},
}

@ARTICLE{Matlis,
    AUTHOR = {Matlis, Eben},
     TITLE = {The higher properties of {$R$}-sequences},
   JOURNAL = {J. Algebra},
    VOLUME = {50},
      YEAR = {1978},
    NUMBER = {1},
     PAGES = {77--112},
       URL = {https://dx.doi.org/10.1016/0021-8693(78)90176-X},
}

@BOOK{Matsuki,
      AUTHOR      = {Matsuki, Kenji},
      TITLE       = {Introduction to the {M}ori program},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {2002},
      SERIES      = {Universitext},
}

@BOOK{MatCA,
	AUTHOR	= {Matsumura, Hideyuki},
	TITLE	= {Commutative Algebra},
	PUBLISHER = {W. A. Benjamin, Inc.},
	YEAR =  {1970},
}

@BOOK{Ma,
	AUTHOR	= {Matsumura, Hideyuki},
      TITLE       = {Commutative ring theory},
      PUBLISHER   = {Cambridge University Press},
      YEAR        = {1986},
      VOLUME      = {8},
      SERIES      = {Cambridge studies in advanced mathematics},
}

@ARTICLE{Mazur-Roberts,
    AUTHOR = {Mazur, B. and Roberts, L.},
     TITLE = {Local {E}uler characteristics},
   JOURNAL = {Invent. Math.},
    VOLUME = {9},
      YEAR = {1969/1970},
     PAGES = {201--234},
}

@ARTICLE{mesablishvili1,
    AUTHOR = {Mesablishvili, Bachuki},
     TITLE = {Pure morphisms of commutative rings are effective descent morphisms for modules---a new proof},
   JOURNAL = {Theory Appl. Categ.},
    VOLUME = {7},
    NUMBER = {3},
      YEAR = {2000},
     PAGES = {38--42},
}

@ARTICLE{mesablishvili2,
    AUTHOR = {Mesablishvili, Bachuki},
     TITLE = {On some properties of pure morphisms of commutative rings},
   JOURNAL = {Theory Appl. Categ.},
    VOLUME = {10},
    NUMBER = {9},
      YEAR = {2002},
     PAGES = {180--186},
}

@ARTICLE{metzler,
  AUTHOR = {Metzler, David},
  TITLE = {Topological and Smooth Stacks},
  JOURNAL = {math.DG/0306176},
  YEAR = {2005},
}

@ARTICLE{Miller,
    AUTHOR = {Miller, George Abram},
     TITLE = {The {O}bsolete in {M}athematics},
   JOURNAL = {Amer. Math. Monthly},
    VOLUME = {24},
      YEAR = {1917},
    NUMBER = {10},
     PAGES = {453--456},
}

@BOOK{Milne,
    AUTHOR = {Milne, James Stuart},
     TITLE = {\'{E}tale cohomology},
    SERIES = {Princeton Mathematical Series},
    VOLUME = {33},
 PUBLISHER = {Princeton University Press},
   ADDRESS = {Princeton, N.J.},
      YEAR = {1980},
     PAGES = {xiii+323},
}

@ARTICLE{Miyaoka-Mori86,
      AUTHOR      = {Miyaoka, Yoichi and Mori, Shigefumi},
      TITLE       = {A numerical criterion for uniruledness},
      JOURNAL     = {Ann. of Math.},
      YEAR        = {1986},
      VOLUME      = {124},
      PAGES       = {65-69},
}

@BOOK{Moore-Cartan,
    AUTHOR = {Moore, John Coleman},
     TITLE = {Homotopie des complexes monoidaux},
     BOOKTITLE = {S\'eminaire {H}enri {C}artan de l'{E}cole {N}ormale {S}up\'erieure, 1954/1955},
 PUBLISHER = {Secr\'etariat math\'ematique},
   ADDRESS = {11 rue Pierre Curie, Paris},
      YEAR = {1955},
     PAGES = {1 -- 8},
}

@UNPUBLISHED{BookAV,
	AUTHOR = {Moonen, Ben and van der Geer, Gerard and Edixhoven, Bas},
	TITLE = {Abelian Varieties},
	URL = {https://www.math.ru.nl/~bmoonen/research.html#bookabvar},
}

@ARTICLE{MV,
    AUTHOR = {Morel, Fabien and Voevodsky, Vladimir},
     TITLE = {{${\bf A}^1$}-homotopy theory of schemes},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    NUMBER = {90},
      YEAR = {1999},
     PAGES = {45--143 (2001)},
       URL = {http://www.numdam.org/item?id=PMIHES_1999__90__45_0},
}

@ARTICLE{MB,
    AUTHOR = {Moret-Bailly, Laurent},
     TITLE = {Un probl\`eme de descente},
   JOURNAL = {Bull. Soc. Math. France},
    VOLUME = {124},
      YEAR = {1996},
    NUMBER = {4},
     PAGES = {559--585},
       URL = {http://www.numdam.org/item?id=BSMF_1996__124_4_559_0},
}

@ARTICLE{MB1,
    AUTHOR = {Moret-Bailly, Laurent},
     TITLE = {Groupes de {P}icard et probl\`emes de {S}kolem {I}},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
    VOLUME = {22},
      YEAR = {1989},
    NUMBER = {2},
     PAGES = {161--179},
       URL = {http://www.numdam.org/item?id=ASENS_1989_4_22_2_161_0},
}

@INPROCEEDINGS{Morin40,
      AUTHOR      = {Morin, Ugo},
      TITLE       = {Sull{'}unirazionalit{\`a} dell{'}ipersuperficie algebrica di qualunque ordine e dimensione sufficientemente alta},
      BOOKTITLE   = {Atti 2. Congr. Un. Mat. Ital., Bologna, 1940},
      YEAR        = {1942},
      PUBLISHER   = {Edizione Cremonense},
      CITY        = {Rome},
      PAGES       = {298--302},
}

@ARTICLE{Mukai,
    AUTHOR = {Mukai, Shigeru},
     TITLE = {Duality between {$D(X)$} and {$D(\hat X)$} with its application to {P}icard sheaves},
   JOURNAL = {Nagoya Math. J.},
    VOLUME = {81},
      YEAR = {1981},
     PAGES = {153--175},
      ISSN = {0027-7630},
       URL = {http://projecteuclid.org/euclid.nmj/1118786312},
}

@ARTICLE{Mumford-topology,
    AUTHOR = {Mumford, David},
     TITLE = {The topology of normal singularities of an algebraic surface and a criterion for simplicity},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    NUMBER = {9},
      YEAR = {1961},
     PAGES = {5--22},
}

@ARTICLE{RE,
      AUTHOR      = {Mumford, David},
      TITLE       = {Rational equivalence of 0-cycles on surfaces},
      JOURNAL     = {Journal of Mathematics of {K}yoto {U}niversity},
      YEAR        = {1968},
      VOLUME      = {9},
      PAGES       = {195--204},
}

@BOOK{AVar,
      AUTHOR      = {Mumford, David},
      TITLE       = {Abelian varieties},
      PUBLISHER   = {Oxford University Press},
      YEAR        = {1970},
      SERIES      = {Tata Institute of Fundamental Research Studies in Mathematics},
      VOLUME      = {5},
}

@ARTICLE{PathologiesIV,
    AUTHOR = {Mumford, David},
     TITLE = {Pathologies {IV}},
   JOURNAL = {Amer. J. Math.},
    VOLUME = {97},
      YEAR = {1975},
    NUMBER = {3},
     PAGES = {847--849},
      ISSN = {0002-9327},
       URL = {https://dx.doi.org/10.2307/2373780},
}

@BOOK{Mum,
      AUTHOR      = {Mumford, David},
      TITLE       = {Lectures on curves on an algebraic surface},
      PUBLISHER   = {Princeton University Press},
      YEAR        = {1966},
      VOLUME      = {59},
      SERIES      = {Annals of Mathematics Studies},
}

@BOOK{GIT,
      AUTHOR      = {Mumford, David and Fogarty, John and Kirwan, Frances},
      TITLE       = {Geometric Invariant Theory, 3d ed.},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1994},
      VOLUME      = {34},
      SERIES      = {Ergebnisse der Math.},
}

@BOOK{RB,
      AUTHOR      = {Mumford, David},
      TITLE       = {The Red Book of Varieties and Schemes},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1988},
      VOLUME      = {1358},
      SERIES      = {Lecture Notes in Mathematics},
}

% double copy of the red book
@BOOK{M,
      AUTHOR      = {Mumford, David},
      TITLE       = {The Red Book of Varieties and Schemes},
      PUBLISHER   = {Springer-Verlag},
      YEAR        = {1988},
      VOLUME      = {1358},
      SERIES      = {Lecture Notes in Mathematics},
}

@ARTICLE{PathII,
    AUTHOR = {Mumford, David},
     TITLE = {Further pathologies in algebraic geometry},
   JOURNAL = {Amer. J. Math.},
    VOLUME = {84},
      YEAR = {1962},
     PAGES = {642--648},
}

@INCOLLECTION{mumford_picard,
    AUTHOR = {Mumford, David},
     TITLE = {Picard groups of moduli problems},
 BOOKTITLE = {Arithmetical {A}lgebraic {G}eometry ({P}roc. {C}onf. {P}urdue {U}niv., 1963)},
     PAGES = {33--81},
 PUBLISHER = {Harper \& Row},
   ADDRESS = {New York},
      YEAR = {1965},
}

@INCOLLECTION{Murre-representation,
    AUTHOR = {Murre, Jakob Pieter},
     TITLE = {Representation of unramified functors. {A}pplications (according to unpublished results of {A}. {G}rothendieck)},
 BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 9},
     PAGES = {243--261},
 PUBLISHER = {Soc. Math. France},
   ADDRESS = {Paris},
      YEAR = {1995},
}

@BOOK{Murre-lectures,
    AUTHOR = {Murre, J. P.},
     TITLE = {Lectures on an introduction to {G}rothendieck's theory of the fundamental group},
      NOTE = {Notes by S. Anantharaman, Tata Institute of Fundamental Research Lectures on Mathematics, No 40},
 PUBLISHER = {Tata Institute of Fundamental Research, Bombay},
      YEAR = {1967},
     PAGES = {iv+176+iv},
}

@ARTICLE{Murre-conjecture-I,
    AUTHOR = {Murre, Jacob P.},
     TITLE = {On a conjectural filtration on the {C}how groups of an algebraic variety. {I}. {T}he general conjectures and some examples},
   JOURNAL = {Indag. Math. (N.S.)},
    VOLUME = {4},
      YEAR = {1993},
    NUMBER = {2},
     PAGES = {177--188},
      ISSN = {0019-3577},
       URL = {https://doi.org/10.1016/0019-3577(93)90038-Z},
}

@ARTICLE{Murre-conjecture-II,
    AUTHOR = {Murre, Jacob P.},
     TITLE = {On a conjectural filtration on the {C}how groups of an algebraic variety. {II}. {V}erification of the conjectures for threefolds which are the product on a surface and a curve},
   JOURNAL = {Indag. Math. (N.S.)},
    VOLUME = {4},
      YEAR = {1993},
    NUMBER = {2},
     PAGES = {189--201},
      ISSN = {0019-3577},
       URL = {https://doi.org/10.1016/0019-3577(93)90039-2},
}

%%%%%%%%%%%%%%%%%%%%%% N %%%%%%%%%%%%%%%%%%%%%%

@BOOK{Nagata,
    AUTHOR = {Nagata, Masayoshi},
     TITLE = {Local rings},
    SERIES = {Interscience Tracts in Pure and Applied Mathematics, No. 13},
 PUBLISHER = {Interscience Publishers a division of John Wiley \& Sons\, New York-London},
      YEAR = {1962},
     PAGES = {xiii+234},
}

@ARTICLE{Nagata-4,
    AUTHOR = {Nagata, Masayoshi},
     TITLE = {A generalization of the imbedding problem of an abstract variety in a complete variety},
   JOURNAL = {J. Math. Kyoto Univ.},
    VOLUME = {3},
      YEAR = {1963},
     PAGES = {89--102},
}

@ARTICLE{Nagata-3,
    AUTHOR = {Nagata, Masayoshi},
     TITLE = {Imbedding of an abstract variety in a complete variety},
   JOURNAL = {J. Math. Kyoto Univ.},
    VOLUME = {2},
      YEAR = {1962},
     PAGES = {1--10},
}

@ARTICLE{Nagata-Purity,
    AUTHOR = {Nagata, Masayoshi},
     TITLE = {On the purity of branch loci in regular local rings},
   JOURNAL = {Illinois J. Math.},
    VOLUME = {3},
      YEAR = {1959},
     PAGES = {328--333},
      ISSN = {0019-2082},
       URL = {https://projecteuclid.org/euclid.ijm/1255455255},
}

@ARTICLE{Nagata-Remarks-Purity,
    AUTHOR = {Nagata, Masayoshi},
     TITLE = {Remarks on a paper of {Z}ariski on the purity of branch loci},
   JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
    VOLUME = {44},
      YEAR = {1958},
     PAGES = {796--799},
      ISSN = {0027-8424},
}

@ARTICLE{Nagata-UFD,
    AUTHOR = {Nagata, Masayoshi},
     TITLE = {A remark on the unique factorization theorem},
   JOURNAL = {J. Math. Soc. Japan},
    VOLUME = {9},
      YEAR = {1957},
     PAGES = {143--145},
}

@ARTICLE{Nagata-2,
    AUTHOR = {Nagata, Masayoshi},
     TITLE = {On the imbeddings of abstract surfaces in projective varieties},
   JOURNAL = {Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math.},
    VOLUME = {30},
      YEAR = {1957},
     PAGES = {231--235},
}

@ARTICLE{Nagata-1,
    AUTHOR = {Nagata, Masayoshi},
     TITLE = {On the imbedding problem of abstract varieties in projective varieties},
   JOURNAL = {Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math.},
    VOLUME = {30},
      YEAR = {1956},
     PAGES = {71--82},
}

@ARTICLE{Nagata-Finitely,
    AUTHOR = {Nagata, Masayoshi},
     TITLE = {Finitely generated rings over a valuation ring},
   JOURNAL = {J. Math. Kyoto Univ.},
    VOLUME = {5},
      YEAR = {1966},
     PAGES = {163--169},
      ISSN = {0023-608X},
       URL = {https://dx.doi.org/10.1215/kjm/1250524533},
}

@ARTICLE{Nak,
      AUTHOR      = {Nakamura, Iku},
      TITLE       = {Hilbert schemes of abelian group orbits},
      JOURNAL     = {Journal of Algebraic Geometry},
      VOLUME      = {10},
      YEAR        = {2001},
      PAGES       = {757-779},
}

@ARTICLE{Neeman-Counterexample,
    AUTHOR = {Neeman, Amnon},
     TITLE = {A counterexample to a 1961 ``theorem'' in homological algebra},
      NOTE = {With an appendix by P. Deligne},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {148},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {397--420},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
}

@BOOK{Neeman,
    AUTHOR = {Neeman, Amnon},
     TITLE = {Triangulated categories},
    SERIES = {Annals of Mathematics Studies},
    VOLUME = {148},
 PUBLISHER = {Princeton University Press},
   ADDRESS = {Princeton, NJ},
      YEAR = {2001},
     PAGES = {viii+449},
}

@ARTICLE{Neeman-Grothendieck,
    AUTHOR = {Neeman, Amnon},
     TITLE = {The {G}rothendieck duality theorem via {B}ousfield's techniques and {B}rown representability},
   JOURNAL = {J. Amer. Math. Soc.},
    VOLUME = {9},
      YEAR = {1996},
    NUMBER = {1},
     PAGES = {205--236},
}

@ARTICLE{Neeman-improvement,
	AUTHOR = {Neeman, Amnon},
	TITLE = {An improvement on the base-change theorem and the functor f-shriek},
	YEAR = {2014},
	EPRINT = {1406.7599},
    EPRINTTYPE = {arXiv},
}

@ARTICLE{Neeman-rigid,
    AUTHOR = {Neeman, A.},
     TITLE = {Rigid dualizing complexes},
   JOURNAL = {Bull. Iranian Math. Soc.},
    VOLUME = {37},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {273--290},
}

@ARTICLE{Nishimura,
    AUTHOR = {Nishimura, Jun-ichi},
     TITLE = {On ideal-adic completion of {N}oetherian rings},
   JOURNAL = {J. Math. Kyoto Univ.},
    VOLUME = {21},
      YEAR = {1981},
    NUMBER = {1},
     PAGES = {153--169},
}

@ARTICLE{Nishimura-few,
    AUTHOR = {Nishimura, Jun-ichi},
     TITLE = {A few examples of local rings, {I}},
   JOURNAL = {Kyoto J. Math.},
  FJOURNAL = {Kyoto Journal of Mathematics},
    VOLUME = {52},
      YEAR = {2012},
    NUMBER = {1},
     PAGES = {51--87},
      ISSN = {2156-2261},
       URL = {https://dx.doi.org/10.1215/21562261-1503754},
}

@ARTICLE{Nishimura-few-II,
    AUTHOR = {Nishimura, Jun-ichi},
     TITLE = {A few examples of local rings, {II}},
   JOURNAL = {Kyoto J. Math.},
    VOLUME = {56},
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    NUMBER = {1},
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      ISSN = {2156-2261},
       URL = {https://doi.org/10.1215/21562261-3445156},
}

@INCOLLECTION{Nishnevich,
    AUTHOR = {Nisnevich, Yevsey},
     TITLE = {The completely decomposed topology on schemes and associated descent spectral sequences in algebraic {$K$}-theory},
 BOOKTITLE = {Algebraic {$K$}-theory: connections with geometry and topology ({L}ake {L}ouise, {AB}, 1987)},
    SERIES = {NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci.},
    VOLUME = {279},
     PAGES = {241--342},
 PUBLISHER = {Kluwer Acad. Publ., Dordrecht},
      YEAR = {1989},
}

@ARTICLE{Nobile,
    AUTHOR = {Nobile, Augusto},
     TITLE = {A note on flat algebras},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {64},
      YEAR = {1977},
    NUMBER = {2},
     PAGES = {206--208},
}

@ARTICLE{Nyg,
      AUTHOR      = {Nygaard, Niels},
      TITLE       = {On the fundamental group of a unirational $3$-fold},
      JOURNAL     = {Inventiones Math.},
      YEAR        = {1978},
      VOLUME      = {44},
      NUMBER = {1},
      PAGES       = {75--86},
}

%%%%%%%%%%%%%%%%%%%%%% O %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Ogoma,
    AUTHOR = {Ogoma, Tetsushi},
     TITLE = {General {N}\'eron desingularization based on the idea of {P}opescu},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {167},
      YEAR = {1994},
    NUMBER = {1},
     PAGES = {57--84},
       URL = {https://dx.doi.org/10.1006/jabr.1994.1175},
}

@ARTICLE{Ogoma-example,
    AUTHOR = {Ogoma, Tetsushi},
     TITLE = {Noncatenary pseudogeometric normal rings},
   JOURNAL = {Japan. J. Math. (N.S.)},
    VOLUME = {6},
      YEAR = {1980},
    NUMBER = {1},
     PAGES = {147--163},
}

@BOOK{OSS,
    AUTHOR = {Okonek, Christian and Schneider, Michael and Spindler, Heinz},
     TITLE = {Vector bundles on complex projective spaces},
    SERIES = {Progress in Mathematics},
    VOLUME = {3},
 PUBLISHER = {Birkh\"auser Boston},
   ADDRESS = {Mass.},
      YEAR = {1980},
     PAGES = {vii+389},
}

@UNPUBLISHED{Noah,
	AUTHOR = {Noah Olander},
	TITLE = {Orlov's Theorem in the Smooth Proper Case},
	YEAR = {2020},
	EPRINT = {2006.15173},
	URL = {https://arxiv.org/abs/2006.15173},
}

@ARTICLE{olivier,
    AUTHOR = {Olivier, Jean-Pierre},
     TITLE = {Descente par morphismes purs},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. A-B},
    VOLUME = {271},
      YEAR = {1970},
     PAGES = {A821--A823},
}

@ARTICLE{Olivier-AF,
    AUTHOR = {Olivier, Jean-Pierre},
     TITLE = {Going up along absolutely flat morphisms},
   JOURNAL = {J. Pure Appl. Algebra},
    VOLUME = {30},
      YEAR = {1983},
    NUMBER = {1},
     PAGES = {47--59},
}

@ARTICLE{olsson_sheaves,
    AUTHOR = {Olsson, Martin Christian},
     TITLE = {Sheaves on {A}rtin stacks},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {603},
      YEAR = {2007},
     PAGES = {55--112},
      ISSN = {0075-4102},
     CODEN = {JRMAA8},
}

@ARTICLE{olsson_proper,
    AUTHOR = {Olsson, Martin Christian},
     TITLE = {On proper coverings of {A}rtin stacks},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {198},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {93--106},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
}

@ARTICLE{olsson_deformation,
    AUTHOR = {Olsson, Martin Christian},
     TITLE = {Deformation theory of representable morphisms of algebraic stacks},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {253},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {25--62},
      ISSN = {0025-5874},
     CODEN = {MAZEAX},
}

@ARTICLE{olsson_homstacks,
    AUTHOR = {Olsson, Martin Christian},
     TITLE = {{$\underline {\rm Hom}$}-stacks and restriction of scalars},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {134},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {139--164},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
}

@ARTICLE{olsson_stacks,
    AUTHOR = {Olsson, Martin Christian},
  TITLE = {Course notes for {M}ath 274: {S}tacks, taken by {A}nton {G}eraschenko},
  YEAR = {2007},
  URL = {https://stacky.net/files/written/Stacks/Stacks.pdf},
}

@BOOK{olsson_book,
    AUTHOR = {Olsson, Martin},
     TITLE = {Algebraic spaces and stacks},
    SERIES = {American Mathematical Society Colloquium Publications},
    VOLUME = {62},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2016},
     PAGES = {xi+298},
      ISBN = {978-1-4704-2798-6},
       URL = {https://doi.org/10.1090/coll/062},
}

@ARTICLE{olsson-starr,
    AUTHOR = {Olsson, Martin Christian and Starr, Jason},
     TITLE = {Quot functors for {D}eligne-{M}umford stacks},
      NOTE = {Special issue in honor of Steven L. Kleiman},
   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {31},
      YEAR = {2003},
    NUMBER = {8},
     PAGES = {4069--4096},
}

@ARTICLE{six-I,
    AUTHOR = {Laszlo, Yves and Olsson, Martin},
     TITLE = {The six operations for sheaves on {A}rtin stacks. {I}. {F}inite coefficients},
   JOURNAL = {Publ. Math. Inst. Hautes \'Etudes Sci.},
    NUMBER = {107},
      YEAR = {2008},
     PAGES = {109--168},
       URL = {https://dx.doi.org/10.1007/s10240-008-0011-6},
}

@ARTICLE{six-II,
    AUTHOR = {Laszlo, Yves and Olsson, Martin},
     TITLE = {The six operations for sheaves on {A}rtin stacks. {II}. {A}dic coefficients},
   JOURNAL = {Publ. Math. Inst. Hautes \'Etudes Sci.},
    NUMBER = {107},
      YEAR = {2008},
     PAGES = {169--210},
       URL = {https://dx.doi.org/10.1007/s10240-008-0012-5},
}

@ARTICLE{Oort,
    AUTHOR = {Oort, Frans},
     TITLE = {Algebraic group schemes in characteristic zero are reduced},
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    VOLUME = {2},
      YEAR = {1966},
     PAGES = {79--80},
}

@ARTICLE{Orlov-motives,
    AUTHOR = {Orlov, D. O.},
     TITLE = {Derived categories of coherent sheaves, and motives},
   JOURNAL = {Uspekhi Mat. Nauk},
    VOLUME = {60},
      YEAR = {2005},
    NUMBER = {6(366)},
     PAGES = {231--232},
      ISSN = {0042-1316},
       URL = {https://doi.org/10.1070/RM2005v060n06ABEH004292},
}

@ARTICLE{Orlov-AV,
    AUTHOR = {Orlov, D. O.},
     TITLE = {Derived categories of coherent sheaves on abelian varieties and equivalences between them},
   JOURNAL = {Izv. Ross. Akad. Nauk Ser. Mat.},
    VOLUME = {66},
      YEAR = {2002},
    NUMBER = {3},
     PAGES = {131--158},
      ISSN = {1607-0046},
       URL = {https://doi.org/10.1070/IM2002v066n03ABEH000389},
}

@ARTICLE{Orlov-K3,
    AUTHOR = {Orlov, D. O.},
     TITLE = {Equivalences of derived categories and {$K3$} surfaces},
      NOTE = {Algebraic geometry, 7},
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      YEAR = {1997},
    NUMBER = {5},
     PAGES = {1361--1381},
      ISSN = {1072-3374},
       URL = {https://dx.doi.org/10.1007/BF02399195},
}

@ARTICLE{Osserman,
    AUTHOR = {Osserman, Brian},
     TITLE = {Relative dimension of morphisms and dimension for algebraic stacks},
   JOURNAL = {J. Algebra},
    VOLUME = {437},
      YEAR = {2015},
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      ISSN = {0021-8693},
       URL = {https://dx.doi.org/10.1016/j.jalgebra.2015.04.022},
}

@MISC{Osserman-Payne,
  AUTHOR = {Osserman, Brian and Payne, Sam},
  TITLE = {Lifting tropical intersections},
  YEAR = {2010},
  EPRINT = {1007.1314},
    EPRINTTYPE = {arXiv},
}

%%%%%%%%%%%%%%%%%%%%%% P %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Pand97,
      AUTHOR      = {Pandharipande, Rahul},
      TITLE       = {The canonical class of $\overline{M}_{0,n}(\mathbb{P}^r,d)$ and enumerative geometry},
      JOURNAL     = {Internat. Math. Res. Notices},
      YEAR        = {1997},
      VOLUME      = {4},
      PAGES       = {173--186},
}

@ARTICLE{QDiv,
      AUTHOR      = {Pandharipande, Rahul},
      TITLE       = {Intersections of {Q}-divisors on {K}ontsevich's moduli space},
      JOURNAL     = {Trans. Amer. Math. Soc.},
      VOLUME      = {351},
      YEAR        = {1999},
      PAGES       = {1481--1505},
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@ARTICLE{Paranjape,
      AUTHOR      = {Paranjape, Kapil Hari},
      TITLE       = {Cohomological and cycle theoretic connectivity},
      JOURNAL     = {Ann. of Math.},
      VOLUME      = {139},
      YEAR        = {1994},
      PAGES       = {641--660},
}

@ARTICLE{Perrin-thesis,
      AUTHOR      = {Perrin, Daniel},
      TITLE       = {Sch\'emas en groupes quasi-compacts sur un corps et Groupes hens\'eliens},
      JOURNAL     = {Publications Math\'ematiques d'Orsay},
      VOLUME      = {165, 75-46},
      YEAR        = {1975},
      PAGES       = {148},
}

@ARTICLE{Perrin,
    AUTHOR = {Perrin, Daniel},
     TITLE = {Approximation des sch\'emas en groupes, quasi compacts sur un corps},
   JOURNAL = {Bull. Soc. Math. France},
    VOLUME = {104},
      YEAR = {1976},
    NUMBER = {3},
     PAGES = {323--335},
}

@ARTICLE{perroni,
    AUTHOR = {Perroni, Fabio},
     TITLE = {A note on toric {D}eligne-{M}umford stacks},
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  FJOURNAL = {The Tohoku Mathematical Journal. Second Series},
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      YEAR = {2008},
    NUMBER = {3},
     PAGES = {441--458},
      ISSN = {0040-8735},
     CODEN = {TOMJAM},
}

@ARTICLE{Peskine,
    AUTHOR = {Peskine, Christian},
     TITLE = {Une g\'en\'eralisation du ``main theorem'' de {Z}ariski},
   JOURNAL = {Bull. Sci. Math. (2)},
  FJOURNAL = {Bulletin des Sciences Math\'ematiques. 2e S\'erie},
    VOLUME = {90},
      YEAR = {1966},
     PAGES = {119--127},
}

@ARTICLE{Peskine-Szpiro,
    AUTHOR = {Peskine, C. and Szpiro, L.},
     TITLE = {Dimension projective finie et cohomologie locale. {A}pplications \`a la d\'emonstration de conjectures de {M}. {A}uslander, {H}. {B}ass et {A}. {G}rothendieck},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  FJOURNAL = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques},
    NUMBER = {42},
      YEAR = {1973},
     PAGES = {47--119},
      ISSN = {0073-8301},
       URL = {http://www.numdam.org/item?id=PMIHES_1973__42__47_0},
}

@ARTICLE{PieneSchl,
    AUTHOR = {Piene, Ragni and Schlessinger, Michael},
     TITLE = {On the {H}ilbert scheme compactification of the space of twisted cubics},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {107},
      YEAR = {1985},
    NUMBER = {4},
     PAGES = {761--774},
}

@ARTICLE{Ponomarev,
    AUTHOR = {Ponomar{\"e}v, K. N.},
     TITLE = {Solvable elimination of ramification in extensions of discretely valued fields},
   JOURNAL = {Algebra i Logika},
    VOLUME = {37},
      YEAR = {1998},
    NUMBER = {1},
     PAGES = {63--87, 123},
}

@INCOLLECTION{Ponomarev-Abhyankar,
    AUTHOR = {Ponomar{\"e}v, K. N.},
     TITLE = {Some generalizations of {A}bhyankar's lemma},
 BOOKTITLE = {Algebra and model theory, 2 (\`{E}rlagol, 1999)},
     PAGES = {119--129, 165},
 PUBLISHER = {Novosibirsk State Tech. Univ.},
   ADDRESS = {Novosibirsk},
      YEAR = {1999},
}

@ARTICLE{Poonen,
    AUTHOR = {Poonen, Bjorn},
     TITLE = {Varieties without extra automorphisms. {III}. {H}ypersurfaces},
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      YEAR = {2005},
    NUMBER = {2},
     PAGES = {230--268},
       URL = {https://dx.doi.org/10.1016/j.ffa.2004.12.001},
}

@INPROCEEDINGS{popescu-global,
    AUTHOR = {Popescu, Dorin},
     TITLE = {Global form of {N}\'eron's {$p$}-desingularization and approximation},
 BOOKTITLE = {Proceedings of the {W}eek of {A}lgebraic {G}eometry ({B}ucharest, 1980)},
    SERIES = {Teubner-Texte Math.},
    VOLUME = {40},
     PAGES = {139--157},
 PUBLISHER = {Teubner},
   ADDRESS = {Leipzig},
      YEAR = {1981},
}

@ARTICLE{popescu-letter,
    AUTHOR = {Popescu, Dorin},
     TITLE = {Letter to the editor: ``{G}eneral {N}\'eron desingularization and approximation'' [{N}agoya {M}ath.\ {J}.\ 104 (1986), 85--115; {MR}0868439 (88a:14007)]},
   JOURNAL = {Nagoya Math. J.},
  FJOURNAL = {Nagoya Mathematical Journal},
    VOLUME = {118},
      YEAR = {1990},
     PAGES = {45--53},
       URL = {https://projecteuclid.org/getRecord?id=euclid.nmj/1118781592},
}

@ARTICLE{popescu-GNDA,
    AUTHOR = {Popescu, Dorin},
     TITLE = {General {N}\'eron desingularization and approximation},
   JOURNAL = {Nagoya Math. J.},
  FJOURNAL = {Nagoya Mathematical Journal},
    VOLUME = {104},
      YEAR = {1986},
     PAGES = {85--115},
       URL = {https://projecteuclid.org/getRecord?id=euclid.nmj/1118780554},
}

@ARTICLE{popescu-GND,
    AUTHOR = {Popescu, Dorin},
     TITLE = {General {N}\'eron desingularization},
   JOURNAL = {Nagoya Math. J.},
  FJOURNAL = {Nagoya Mathematical Journal},
    VOLUME = {100},
      YEAR = {1985},
     PAGES = {97--126},
       URL = {https://projecteuclid.org/getRecord?id=euclid.nmj/1118780236},
}

@ARTICLE{PSY,
    AUTHOR = {Porta, Marco and Shaul, Liran and Yekutieli, Amnon},
     TITLE = {On the homology of completion and torsion},
   JOURNAL = {Algebr. Represent. Theory},
    VOLUME = {17},
      YEAR = {2014},
    NUMBER = {1},
     PAGES = {31--67},
       URL = {https://doi.org/10.1007/s10468-012-9385-8},
}

@ARTICLE{Predonzan49,
      AUTHOR      = {Predonzan, Arno},
      TITLE       = {Sull{'} unirationalit{\`a} della variet{\`a} intersezione completa di pi{\`u} forme},
      JOURNAL     = {Rend. Sem. Math. Padova},
      YEAR        = {1949},
      VOLUME      = {18},
      PAGES       = {161--176}
}

%%%%%%%%%%%%%%%%%%%%%% Q %%%%%%%%%%%%%%%%%%%%%%


@MISC{quillenhomology,
       AUTHOR = {Quillen, Daniel},
        TITLE = {Homology of commutative rings},
        PAGES = {1--81},
    PUBLISHER = {Mimeographed notes},
 HOWPUBLISHED = {Unpublished}
}

@INCOLLECTION{quillencohomology,
    AUTHOR = {Quillen, Daniel},
     TITLE = {On the (co-) homology of commutative rings},
 BOOKTITLE = {Applications of {C}ategorical {A}lgebra ({P}roc. {S}ympos. {P}ure {M}ath., {V}ol. {XVII}, {N}ew {Y}ork, 1968)},
     PAGES = {65--87},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, R.I.},
      YEAR = {1970}
}

@BOOK{Quillen,
    AUTHOR = {Quillen, Daniel Gray},
     TITLE = {Homotopical algebra},
    SERIES = {Lecture Notes in Mathematics, No. 43},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1967},
     PAGES = {iv+156},
}

%%%%%%%%%%%%%%%%%%%%%% R %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Rainwater,
    AUTHOR = {Rainwater, John},
     TITLE = {A note on projective resolutions},
   JOURNAL = {Proc. Amer. Math. Soc.},
    VOLUME = {10},
      YEAR = {1959},
     PAGES = {734--735},
}

@INCOLLECTION{Ran-deformations,
    AUTHOR = {Ran, Ziv},
     TITLE = {Deformations of maps},
 BOOKTITLE = {Algebraic curves and projective geometry ({T}rento, 1988)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1389},
     PAGES = {246--253},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1989},
       URL = {https://dx.doi.org/10.1007/BFb0085936},
}

@ARTICLE{Ratliff,
    AUTHOR = {Ratliff, Jr., L. J.},
     TITLE = {Characterizations of catenary rings},
   JOURNAL = {Amer. J. Math.},
    VOLUME = {93},
      YEAR = {1971},
     PAGES = {1070--1108},
}

@ARTICLE{Raynaud,
    AUTHOR = {Raynaud, Michel},
     TITLE = {Sp\'ecialisation du foncteur de {P}icard},
   JOURNAL = {Inst. Hautes \'Etudes Sci. Publ. Math.},
    VOLUME = {38},
      YEAR = {1970},
     PAGES = {27--76},
}

@BOOK{Henselian,
	AUTHOR	=	{Raynaud, Michel},
	TITLE	=	{Anneaux locaux hens\'eliens},
	SERIES	=	{Lecture Notes in Mathematics},
	VOLUME	=	{169},
	PUBLISHER	=	{Spinger-Verlag},
	YEAR	=	{1970}
}

@INCOLLECTION{Raynaud-Rennes,
    AUTHOR = {Raynaud, Michel},
     TITLE = {Anneaux hens\'eliens et approximations},
 BOOKTITLE = {Colloque d'{A}lg\`ebre {C}ommutative ({R}ennes, 1972), {E}xp. {N}o. 13},
     PAGES = {9},
 PUBLISHER = {Univ. Rennes},
   ADDRESS = {Rennes},
      YEAR = {1972},
}

@BOOK{RaynaudAmpleLB,
    AUTHOR = {Raynaud, Michel},
     TITLE = {Faisceaux amples sur les sch\'emas en groupes et les espaces homog\`enes},
    SERIES = {Lecture Notes in Mathematics, Vol. 119},
 PUBLISHER = {Springer-Verlag, Berlin-New York},
      YEAR = {1970},
     PAGES = {ii+218},
}

@BOOK{MRaynaud-book,
    AUTHOR = {Raynaud, Mich\`ele},
     TITLE = {Th\'eor\`emes de {L}efschetz en cohomologie coh\'erente et en cohomologie \'etale},
      NOTE = {Bull. Soc. Math. France, M\'em. No. 41, Suppl\'ement au Bull. Soc. Math. France, Tome 103},
 PUBLISHER = {Soci\'et\'e Math\'ematique de France, Paris},
      YEAR = {1975},
     PAGES = {176},
}

@ARTICLE{MRaynaud-paper,
    AUTHOR = {Raynaud, Mich\`ele},
     TITLE = {Th\'eoremes de {L}efschetz en cohomologie des faisceaux coh\'erents et en cohomologie \'etale. {A}pplication au groupe fondamental},
      NOTE = {Collection of articles dedicated to Henri Cartan on the occasion of his 70th birthday, I},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
    VOLUME = {7},
      YEAR = {1974},
     PAGES = {29--52},
      ISSN = {0012-9593},
       URL = {http://www.numdam.org/item?id=ASENS_1974_4_7_1_29_0},
}

@ARTICLE{Rees,
    AUTHOR = {Rees, David},
     TITLE = {A note on analytically unramified local rings},
   JOURNAL = {J. London Math. Soc.},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {36},
      YEAR = {1961},
     PAGES = {24--28},
}

@INCOLLECTION{Reid80,
      AUTHOR      = {Reid, Miles},
      TITLE       = {Canonical threefolds},
      BOOKTITLE   = {G\'{e}om\'{e}trie {A}lg\'{e}brique Angers},
      EDITOR      = {A. Beauville},
      PUBLISHER   = {Sijthoff and {N}oordhoff},
      YEAR        = {1980},
      PAGES       = {273--310},
}

@MISC{Reinhard,
	AUTHOR	= {Reinhard, Philipp Michael},
	TITLE	= {Andre-Quillen homology for simplicial algebras and ring spectra},
	URL = {https://theses.gla.ac.uk/507/},
}

@INCOLLECTION{YPGS,
      AUTHOR      = {Reid, Miles},
      TITLE       = {Young person's guide to singularities},
      BOOKTITLE   = {Algebraic {G}eometry--{B}owdoin 1985},
      EDITOR      = {Spencer Bloch},
      PUBLISHER   = {AMS},
      YEAR        = {1987},
      PAGES       = {345--414},
}

@ARTICLE{Rickard,
    AUTHOR = {Rickard, Jeremy},
     TITLE = {Morita theory for derived categories},
   JOURNAL = {J. London Math. Soc. (2)},
    VOLUME = {39},
      YEAR = {1989},
    NUMBER = {3},
     PAGES = {436--456},
}

@ARTICLE{Rickard-derived,
    AUTHOR = {Rickard, Jeremy},
     TITLE = {Derived categories and stable equivalence},
   JOURNAL = {J. Pure Appl. Algebra},
    VOLUME = {61},
      YEAR = {1989},
    NUMBER = {3},
     PAGES = {303--317},
}

@ARTICLE{Rieffel,
    AUTHOR = {Rieffel, Marc Aristide},
     TITLE = {A general {W}edderburn theorem},
   JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
    VOLUME = {54},
      YEAR = {1965},
     PAGES = {1513},
}
% should it be somehow be made clear that this paper contains only a single page?

@ARTICLE{Rizzardo,
    AUTHOR = {Rizzardo, Alice},
     TITLE = {Adjoints to a {F}ourier-{M}ukai functor},
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@INCOLLECTION{Roberts,
    AUTHOR = {Roberts, Joel},
     TITLE = {Chow's moving lemma},
 BOOKTITLE = {Algebraic geometry, {O}slo 1970 ({P}roc. {F}ifth {N}ordic {S}ummer {S}chool in {M}ath.)},
     PAGES = {89--96},
      NOTE = {Appendix 2 to: ``Motives'' ({{\i}t Algebraic geometry, Oslo 1970} (Proc. Fifth Nordic Summer School in Math.), pp. 53--82, Wolters-Noordhoff, Groningen, 1972) by Steven L. Kleiman},
 PUBLISHER = {Wolters-Noordhoff, Groningen},
      YEAR = {1972},
}

@ARTICLE{Rodicio,
    AUTHOR = {Rodicio, Antonio G.},
     TITLE = {On a result of {A}vramov},
   JOURNAL = {Manuscripta Math.},
    VOLUME = {62},
      YEAR = {1988},
    NUMBER = {2},
     PAGES = {181--185},
}

@ARTICLE{Rodicio-ci,
    AUTHOR = {Rodicio, Antonio G.},
     TITLE = {Local rings whose formal fibres are complete intersections},
   JOURNAL = {Extracta Math.},
    VOLUME = {2},
      YEAR = {1987},
    NUMBER = {2},
     PAGES = {71--73},
}

@ARTICLE{romagny_actions,
    AUTHOR = {Romagny, Matthieu},
     TITLE = {Group actions on stacks and applications},
   JOURNAL = {Michigan Math. J.},
  FJOURNAL = {Michigan Mathematical Journal},
    VOLUME = {53},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {209--236},
      ISSN = {0026-2285},
}

@ARTICLE{romagny_notes,
  AUTHOR = {Romagny, Matthieu},
  TITLE = {A note on group actions on algebraic stacks},
  JOURNAL = {math.AG/0305243},
  YEAR = {2003}
}

@UNPUBLISHED{Joe,
	AUTHOR	= {Ross, Joseph},
	TITLE	= {The Hilbert-Chow Morphism and the Incidence Divisor},
	YEAR	= {2009},
	NOTE	= {Columbia University PhD thesis}
}
% should be type phdthesis?

@ARTICLE{Ross-Thomas,
    AUTHOR = {Ross, Julius and Thomas, Richard},
     TITLE = {A study of the {H}ilbert-{M}umford criterion for the stability of projective varieties},
   JOURNAL = {J. Algebraic Geom.},
    VOLUME = {16},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {201--255},
       URL = {https://dx.doi.org/10.1090/S1056-3911-06-00461-9},
}

@INCOLLECTION{RV,
    AUTHOR = {Roth, Mike and Vakil, Ravi},
     TITLE = {The affine stratification number and the moduli space of curves},
 BOOKTITLE = {Algebraic structures and moduli spaces},
    SERIES = {CRM Proc. Lecture Notes},
    VOLUME = {38},
     PAGES = {213--227},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2004},
}

@ARTICLE{Rotthaus-excellent,
    AUTHOR = {Rotthaus, Christel},
     TITLE = {Rings with approximation property},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {287},
      YEAR = {1990},
    NUMBER = {3},
     PAGES = {455--466},
       URL = {https://dx.doi.org/10.1007/BF01446905},
}

@INCOLLECTION{Rotthaus-Artin,
    AUTHOR = {Artin, Michael and Rotthaus, Christel},
     TITLE = {A structure theorem for power series rings},
 BOOKTITLE = {Algebraic geometry and commutative algebra, {V}ol.\ {I}},
     PAGES = {35--44},
 PUBLISHER = {Kinokuniya},
   ADDRESS = {Tokyo},
      YEAR = {1988},
}

@ARTICLE{Rouquier-dimensions,
    AUTHOR = {Rouquier, Rapha{\"e}l},
     TITLE = {Dimensions of triangulated categories},
   JOURNAL = {J. K-Theory},
    VOLUME = {1},
      YEAR = {2008},
    NUMBER = {2},
     PAGES = {193--256},
       URL = {https://dx.doi.org/10.1017/is007011012jkt010},
}

@ARTICLE{rydh_approx,
	AUTHOR = {Rydh, David},
	TITLE = {Noetherian approximation of algebraic spaces and stacks},
	JOURNAL = {math.AG/0904.0227},
	YEAR = {2008}
}

@ARTICLE{rydh_quotients,
	AUTHOR = {Rydh, David},
	TITLE = {Existence of quotients by finite groups and coarse moduli spaces},
	JOURNAL = {math.AG/0708.3333},
	YEAR = {2007}
}

@ARTICLE{rydh_descent,
	AUTHOR = {Rydh, David},
	TITLE = {Submersions and effective descent of \'etale morphisms},
	JOURNAL = {math.AG/0710.2488},
	YEAR = {2007}
}

@ARTICLE{rydh_etale_devissage,
	AUTHOR = {Rydh, David},
	TITLE = {\'Etale D\'evissage, descent and pushouts of stacks},
	JOURNAL = {math.AG/1005.2171v1},
	YEAR = {2010}
}

@ARTICLE{rydh_representability,
    AUTHOR = {Rydh, David},
     TITLE = {Representability of {H}ilbert schemes and {H}ilbert stacks of points},
   JOURNAL = {Comm. Algebra},
    VOLUME = {39},
      YEAR = {2011},
    NUMBER = {7},
     PAGES = {2632--2646},
       URL = {https://dx.doi.org/10.1080/00927872.2010.488678},
}

%%%%%%%%%%%%%%%%%%%%%% S %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Saavedra,
    AUTHOR = {Saavedra-Rivano, Neantro},
     TITLE = {Cat\'egories tannakiennes},
   JOURNAL = {Bull. Soc. Math. France},
    VOLUME = {100},
      YEAR = {1972},
     PAGES = {417--430},
}

@ARTICLE{Saito,
    AUTHOR = {Saito, Takeshi},
     TITLE = {Vanishing cycles and geometry of curves over a discrete valuation ring},
   JOURNAL = {Amer. J. Math.},
    VOLUME = {109},
      YEAR = {1987},
    NUMBER = {6},
     PAGES = {1043--1085},
       URL = {https://dx.doi.org/10.2307/2374585},
}

@ARTICLE{Saltman-torsion,
    AUTHOR = {Saltman, David J.},
     TITLE = {The {B}rauer group is torsion},
   JOURNAL = {Proc. Amer. Math. Soc.},
    VOLUME = {81},
      YEAR = {1981},
    NUMBER = {3},
     PAGES = {385--387},
}

@INCOLLECTION{Samule-relations,
    AUTHOR = {Samuel, Pierre},
     TITLE = {Relations d'\'{e}quivalence en g\'{e}om\'{e}trie alg\'{e}brique},
 BOOKTITLE = {Proc. {I}nternat. {C}ongress {M}ath. 1958},
     PAGES = {470--487},
 PUBLISHER = {Cambridge Univ. Press, New York},
      YEAR = {1960},
}

@ARTICLE{Samuel,
    AUTHOR = {Samuel, Pierre},
     TITLE = {Rational equivalence of arbitrary cycles},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {78},
      YEAR = {1956},
     PAGES = {383--400},
}

@ARTICLE{Samuel-UFD,
    AUTHOR = {Samuel, Pierre},
     TITLE = {Unique factorization},
   JOURNAL = {Amer. Math. Monthly},
    VOLUME = {75},
      YEAR = {1968},
     PAGES = {945--952},
}

@ARTICLE{Scheiderer,
    AUTHOR = {Scheiderer, Claus},
     TITLE = {Quasi-augmented simplicial spaces, with an application to cohomological dimension},
   JOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {81},
    NUMBER = {3},
      YEAR = {1992},
     PAGES = {293--311},
}

@ARTICLE{Sch,
    AUTHOR = {Schlessinger, Michael},
     TITLE = {Functors of {A}rtin rings},
   JOURNAL = {Trans. Amer. Math. Soc.},
    VOLUME = {130},
      YEAR = {1968},
     PAGES = {208--222}
}

@ARTICLE{Schroeer,
    AUTHOR = {Schroeer, Stefan},
     TITLE = {Points in the fppf topology},
    EPRINT = {1407.5446},
    EPRINTTYPE = {arXiv},
      YEAR = {2014},
     PAGES = {24},
}

@BOOK{Sernesi,
      AUTHOR      = {Sernesi, Edoardo},
      TITLE       = {Topics on families of projective varieties},
      PUBLISHER   = {Queen's University},
      YEAR        = {1986},
      SERIES      = {Queen's Papers in Pure and Applied Mathematics},
      VOLUME      = {73},
}

@ARTICLE{serpe,
    AUTHOR = {Serp{\'e}, Christian},
     TITLE = {Resolution of unbounded complexes in {G}rothendieck categories},
   JOURNAL = {J. Pure Appl. Algebra},
    VOLUME = {177},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {103--112},
}

@ARTICLE{FAC,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Faisceaux alg\'ebriques coh\'erents},
   JOURNAL = {Ann. of Math. (2)},
    VOLUME = {61},
      YEAR = {1955},
     PAGES = {197--278},
}

@ARTICLE{Serre-criterion,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Sur la cohomologie des vari\'et\'es alg\'ebriques},
   JOURNAL = {J. Math. Pures Appl. (9)},
    VOLUME = {36},
      YEAR = {1957},
     PAGES = {1--16},
}

@BOOK{SerreCorpsLocaux,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Corps locaux},
    SERIES = {Publications de l'Institut de Math\'ematique de l'Universit\'e de Nancago, {VIII}},
 PUBLISHER = {Actualit\'es Sci. Indust., No. 1296. Hermann, Paris},
      YEAR = {1962},
     PAGES = {243},
}

@BOOK{SerreGaloisCohomology,
    AUTHOR = {Serre, Jean-Pierre},
	TITLE = {Galois Cohomology},
	PUBLISHER = {Springer-Verlag},
	YEAR = {1997},
	SERIES = {Springer Monographs in Mathematics},
}

@BOOK{Serre_local_algebra,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Local algebra},
    SERIES = {Springer Monographs in Mathematics},
      NOTE = {Translated from the French by CheeWhye Chin and revised by the author},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {2000},
     PAGES = {xiv+128},
}

@BOOK{Serre_algebre_locale,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Alg\`ebre locale. {M}ultiplicit\'es},
    SERIES = {Cours au Coll\`ege de France, 1957--1958, r\'edig\'e par Pierre Gabriel. Seconde \'edition, 1965. Lecture Notes in Mathematics},
    VOLUME = {11},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1965},
     PAGES = {vii+188},
}

@ARTICLE{Serre_homotopie_classes,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Groupes d'homotopie et classes de groupes ab\'eliens},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {58},
      YEAR = {1953},
     PAGES = {258--294},
}

@BOOK{Serre-Cartan,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Applications alg\'ebriques de la cohomologie des groupes. {II}: Th\'eorie des alg\`ebres simples},
     BOOKTITLE = {S\'eminaire {H}enri {C}artan de l'{E}cole {N}ormale {S}up\'erieure, 1950/1951. {C}ohomologie des groupes, suite spectrale, faisceaux},
 PUBLISHER = {Secr\'etariat math\'ematique},
   ADDRESS = {11 rue Pierre Curie, Paris},
      YEAR = {1955},
     PAGES = {188},
}

@INCOLLECTION{Serre-projective,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Modules projectifs et espaces fibr\'{e}s \`a fibre vectorielle},
 BOOKTITLE = {S\'{e}minaire {P}. {D}ubreil, {M}.-{L}. {D}ubreil-{J}acotin et {C}. {P}isot, 1957/58, {F}asc. 2, {E}xpos\'{e} 23},
     PAGES = {18},
 PUBLISHER = {Secr\'{e}tariat math\'{e}matique, Paris},
      YEAR = {1958},
}

@ARTICLE{seshadri_quotients,
    AUTHOR = {Seshadri, Conjeevaram Srirangachari},
     TITLE = {Quotient spaces modulo reductive algebraic groups},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {95},
      YEAR = {1972},
     PAGES = {511--556},
      ISSN = {0003-486X},
}
% the PAGES field contained {; errata, ibid. (2) 96 (1972), 599}, what to do with this?

@INCOLLECTION{Sharp,
    AUTHOR = {Sharp, Rodney Y.},
     TITLE = {Necessary conditions for the existence of dualizing complexes in commutative algebra},
 BOOKTITLE = {S\'eminaire d'{A}lg\`ebre {P}aul {D}ubreil 31\`eme ann\'ee ({P}aris, 1977--1978)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {740},
     PAGES = {213--229},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1979},
}

@ARTICLE{Shioda,
      AUTHOR      = {Shioda, Tetsuji},
      TITLE       = {Some results on unirationality of algebraic surfaces},
      JOURNAL     = {Mathematische Annalen},
      YEAR        = {1977},
      VOLUME      = {230},
      PAGES       = {153--168},
}

@BOOK{SilvermanEllipticCurves,
	AUTHOR = {Silverman, Joseph Hillel},
	TITLE = {The arithmetic of elliptic curves},
	PUBLISHER = {Springer-Verlag},
	YEAR = {1986},
	SERIES 	= {Graduate Texts in Mathematics},
	NUMBER = {106},
}

@INCOLLECTION{Simpson,
      AUTHOR      = {Simpson, Carlos},
      TITLE       = {Nonabelian {H}odge theory},
      BOOKTITLE   = {Proceedings of the International Congress of Mathematicians, {V}ol. {I}, {II} ({K}yoto, 1990)},
      PAGES       = {747-756},
      PUBLISHER   = {Math. Soc. Japan},
      YEAR        = {1991},
}

@ARTICLE{Smyth,
    AUTHOR = {Smyth, David Ishii},
     TITLE = {Towards a classification of modular compactifications of {$\mathcal{M}_{g,n}$}},
   JOURNAL = {Invent. Math.},
    VOLUME = {192},
      YEAR = {2013},
    NUMBER = {2},
     PAGES = {459--503},
      ISSN = {0020-9910},
       URL = {https://dx.doi.org/10.1007/s00222-012-0416-1},
}

@ARTICLE{Spivakovsky,
    AUTHOR = {Spivakovsky, Mark},
     TITLE = {A new proof of {D}. {P}opescu's theorem on smoothing of ring homomorphisms},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {12},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {381--444},
       URL = {https://dx.doi.org/10.1090/S0894-0347-99-00294-5},
}

@MISC{stacks-project,
	AUTHOR	= {The Stacks Project Authors},
	TITLE	= {Stacks Project},
	URL = {https://stacks.math.columbia.edu/},
}

@UNPUBLISHED{S1,
      AUTHOR      = {Starr, Jason},
      YEAR        = {2003},
      TITLE       = {Kodaira dimensions of spaces of rational curves on low degree hypersurfaces},
      NOTE        = {in preparation},
}
% there's at least a preprint at arXiv, cite this one?

@UNPUBLISHED{S2,
      AUTHOR      = {Starr, Jason},
      YEAR        = {2003},
      TITLE       = {Explicit computations related to {R}ational connectivity... by {G}raber, {H}arris, {M}azur and {S}tarr},
      NOTE        = {in preparation},
}
% this one seems really unpublished, not in preparation

@UNPUBLISHED{Sr1c,
      AUTHOR      = {Starr, Jason},
      YEAR        = {2004},
      TITLE       = {Hypersurfaces of low degree are rationally 1-connected},
      NOTE        = {in preparation},
}
% there's at least a preprint at arXiv, cite this one?

@UNPUBLISHED{Sgs,
      AUTHOR      = {Starr, Jason},
      YEAR        = {2004},
      TITLE       = {Global sections of some vector bundles on {K}ontsevich moduli spaces},
      NOTE        = {preprint},
      URL         = {https://www.math.stonybrook.edu/~jstarr/papers/globsecs.pdf},
}
% this one seems really unpublished, not in preparation

@ARTICLE{starr_artin,
  AUTHOR = {Starr, Jason},
  TITLE = {Artin's axioms, composition and moduli spaces},
  JOURNAL = {math.AG/0602646},
  YEAR = {2006},
}

@ARTICLE{Spaltenstein,
    AUTHOR = {Spaltenstein, Nicolas},
     TITLE = {Resolutions of unbounded complexes},
   JOURNAL = {Compositio Math.},
    VOLUME = {65},
      YEAR = {1988},
    NUMBER = {2},
     PAGES = {121--154},
       URL = {http://www.numdam.org/item?id=CM_1988__65_2_121_0},
}

@ARTICLE{Stevens88,
      AUTHOR      = {Stevens, Jan},
      TITLE       = {On canonical singularities as total spaces of deformations},
      JOURNAL     = {Abh. Math. Sem. Univ. Hamburg},
      YEAR        = {1988},
      VOLUME      = {58},
      PAGES       = {275-283},
}

@INCOLLECTION{SV,
    AUTHOR = {Suslin, Andrei and Voevodsky, Vladimir},
     TITLE = {Relative cycles and {C}how sheaves},
 BOOKTITLE = {Cycles, transfers, and motivic homology theories},
    SERIES = {Ann. of Math. Stud.},
    VOLUME = {143},
     PAGES = {10--86},
 PUBLISHER = {Princeton Univ. Press, Princeton, NJ},
      YEAR = {2000},
}

@INCOLLECTION{swan,
    AUTHOR = {Swan, Richard Gordon},
     TITLE = {N\'eron-{P}opescu desingularization},
 BOOKTITLE = {Algebra and geometry ({T}aipei, 1995)},
    SERIES = {Lect. Algebra Geom.},
    VOLUME = {2},
     PAGES = {135--192},
 PUBLISHER = {Int. Press, Cambridge, MA},
      YEAR = {1998},
}

%%%%%%%%%%%%%%%%%%%%%% T %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Takeuchi,
    AUTHOR = {Takeuchi, Mitsuhiro},
     TITLE = {A simple proof of {G}abriel and {P}opesco's theorem},
   JOURNAL = {J. Algebra},
    VOLUME = {18},
      YEAR = {1971},
     PAGES = {112--113},
      ISSN = {0021-8693},
       URL = {https://doi.org/10.1016/0021-8693(71)90130-X},
}

@ARTICLE{Tate,
   AUTHOR = {Tate, John},
  JOURNAL = {Inventiones mathematicae},
    TITLE = {Relations between K2 and Galois Cohomology},
   VOLUME = {36},
     YEAR = {1976},
    PAGES = {257-274},
}

@ARTICLE{Tate-homology,
    AUTHOR = {Tate, John},
     TITLE = {Homology of {N}oetherian rings and local rings},
   JOURNAL = {Illinois J. Math.},
    VOLUME = {1},
      YEAR = {1957},
     PAGES = {14--27},
}

@ARTICLE{TSH,
    AUTHOR = {Tatsuuma, Nobuhiko and Shimomura, Hiroaki and Hirai, Takeshi},
     TITLE = {On group topologies and unitary representations of inductive limits of topological groups and the case of the group of diffeomorphisms},
   JOURNAL = {J. Math. Kyoto Univ.},
    VOLUME = {38},
      YEAR = {1998},
    NUMBER = {3},
     PAGES = {551--578},
}

@ARTICLE{Taussky,
    AUTHOR = {Taussky, Olga},
     TITLE = {A recurring theorem on determinants},
   JOURNAL = {Amer. Math. Monthly},
    VOLUME = {56},
      YEAR = {1949},
     PAGES = {672--676},
}

@ARTICLE{Teissier,
    AUTHOR = {Teissier, Bernard},
     TITLE = {R\'esultats r\'ecents sur l'approximation des morphismes en alg\`ebre commutative (d'apr\`es {A}ndr\'e, {A}rtin, {P}opescu et {S}pivakovsky)},
      NOTE = {S{\'e}minaire Bourbaki, Vol. 1993/94},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {227},
      YEAR = {1995},
     PAGES = {259--282},
}

@ARTICLE{Temkin,
    AUTHOR = {Temkin, Michael},
     TITLE = {Stable modification of relative curves},
   JOURNAL = {J. Algebraic Geom.},
    VOLUME = {19},
      YEAR = {2010},
    NUMBER = {4},
     PAGES = {603--677},
       URL = {https://dx.doi.org/10.1090/S1056-3911-2010-00560-7},
}

@MISC{Temkin-Tyomkin,
   AUTHOR = {Temkin, Michael and Tyomkin, Ilya},
    TITLE = {Ferrand's pushouts for algebraic spaces},
     YEAR = {2013},
   EPRINT = {1305.6014},
    EPRINTTYPE = {arXiv},
}

@INCOLLECTION{Thorup,
    AUTHOR = {Thorup, Anders},
     TITLE = {Rational equivalence theory on arbitrary {N}oetherian schemes},
 BOOKTITLE = {Enumerative geometry ({S}itges, 1987)},
    SERIES = {Lecture Notes in Math.},
    VOLUME = {1436},
     PAGES = {256--297},
 PUBLISHER = {Springer, Berlin},
      YEAR = {1990},
       URL = {https://doi.org/10.1007/BFb0084049},
}

@INCOLLECTION{TT,
    AUTHOR = {Thomason, Robert Wayne and Trobaugh, Thomas},
     TITLE = {Higher algebraic {$K$}-theory of schemes and of derived categories},
 BOOKTITLE = {The {G}rothendieck {F}estschrift, {V}ol.\ {III}},
    SERIES = {Progr. Math.},
    VOLUME = {88},
     PAGES = {247--435},
 PUBLISHER = {Birkh\"auser Boston},
   ADDRESS = {Boston, MA},
      YEAR = {1990},
}

@ARTICLE{Toen,
      AUTHOR      = {To{\"e}n, Bertrand},
      TITLE       = {Th\'{e}or\`{e}mes de {R}iemann-{R}och pour les champs de {D}eligne-{M}umford},
      JOURNAL     = {K-theory},
      VOLUME      = {18},
      YEAR        = {1999},
      PAGES       = {33--76},
}

@INCOLLECTION{toen_higher,
    AUTHOR = {To{\"e}n, Bertrand},
     TITLE = {Higher and derived stacks: a global overview},
 BOOKTITLE = {Algebraic geometry---{S}eattle 2005. {P}art 1},
    SERIES = {Proc. Sympos. Pure Math.},
    VOLUME = {80},
     PAGES = {435--487},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {2009},
}

@ARTICLE{hag1,
    AUTHOR = {To{\"e}n, Bertrand and Vezzosi, Gabriele},
     TITLE = {Homotopical algebraic geometry. {I}. {T}opos theory},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {193},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {257--372},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
}

@ARTICLE{hag2,
    AUTHOR = {To{\"e}n, Bertrand and Vezzosi, Gabriele},
     TITLE = {Homotopical algebraic geometry. {II}. {G}eometric stacks and applications},
   JOURNAL = {Mem. Amer. Math. Soc.},
  FJOURNAL = {Memoirs of the American Mathematical Society},
    VOLUME = {193},
      YEAR = {2008},
    NUMBER = {902},
     PAGES = {x+224},
      ISSN = {0065-9266},
     CODEN = {MAMCAU},
}

@ARTICLE{totaro_resolution,
    AUTHOR = {Totaro, Burt},
     TITLE = {The resolution property for schemes and stacks},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's Journal]},
    VOLUME = {577},
      YEAR = {2004},
     PAGES = {1--22},
      ISSN = {0075-4102},
     CODEN = {JRMAA8},
}

@BOOK{Totaro-group,
    AUTHOR = {Totaro, Burt},
     TITLE = {Group cohomology and algebraic cycles},
    SERIES = {Cambridge Tracts in Mathematics},
    VOLUME = {204},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {2014},
     PAGES = {xvi+228},
       URL = {https://dx.doi.org/10.1017/CBO9781139059480},
}

@ARTICLE{Tsen,
      AUTHOR      = {Tsen, Chiungtze},
      TITLE       = {Divisionalgebren {\"u}ber {F}unktionenk{\"o}rper},
      JOURNAL     = {Nachr. Ges. Wiss. G{\"o}tingen},
      YEAR        = {1933},
      PAGES       = {335},
}

@ARTICLE{Tsen36,
      AUTHOR      = {Tsen, Chiungtze},
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@BOOK{Winter,
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%%%%%%%%%%%%%%%%%%%%%% X %%%%%%%%%%%%%%%%%%%%%%



%%%%%%%%%%%%%%%%%%%%%% Y %%%%%%%%%%%%%%%%%%%%%%

@ARTICLE{Yasuda,
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